Which expressions are equivalent to b2c52b−2c12? Select all that apply

Answers

Answer 1

The "equivalent-expression" for the given expression "b²c⁵b¹ - 2c¹b²" is b²c(bc⁴ - 2).

An "Equivalent-Expression" is an expression which has the same-value as the original expression, but may look different. The two expressions are equivalent if they simplify to the same result.

We have to solve the expression : "b²c⁵b¹ - 2c¹b²",

To simplify this expression, we first combine the "like-terms" by adding the exponents of b and c;

= b²c⁵b¹ - 2c¹b²,

Now we add the exponents having the same-base;

= b²⁺¹c⁵ - 2b²c¹;

= b³c⁵ - 2b²c

= b²c(bc⁴ - 2).

Therefore, the required "equivalent-expression" is b²c(bc⁴ - 2).

Learn more about Expression here

https://brainly.com/question/30436325

#SPJ1

The given question is incomplete, the complete question is

Write an equivalent expression for the given expression "b²c⁵b¹ - 2c¹b²".


Related Questions

HELP!! I need the answer to pass 10th grade and im stumped D:

Answers

AB is dilated by a scale factor of 3 to form A'B'. Point O, which lies on AB, is the center of dilation.

The slope of AB is 3. The slope of A'B' is 3. A'B' passes through point O.

What is dilation in mathematics?

Dilation is a process of transformation used to resize an object.

The items are enlarged or shrunk through dilation. An image that retains the original shape is created by this alteration. The size of the form does differ, though.

By multiplying the x and y coordinates of the original figure by the scale factor, you may locate locations on the dilated image when a dilation in the coordinate plane has the origin as the center of dilation.

Learn more about dilation at: https://brainly.com/question/10253650

#SPJ1

A meal program accepts online payments by the use of a credit card. for every payment processed, the person is charged a 2% processing fee.



if a person made a payment of $23.50, how much was the fee he or she paid?

Answers

The fee paid by the person for a $23.50 payment with a 2% processing fee is $0.47.

As the meal program accepts online payments by the use of a credit card. for every payment processed and the processing fee for the credit card payment is 2% of the payment amount. To calculate the fee if a person made a payment of $23.50, we can multiply the payment amount by 2% or 0.02.

Fee = 23.50 x 0.02 = $0.47

Therefore, the fee paid by the person for a $23.50 payment is $0.47.

For more questions like Payment click the link below:

https://brainly.com/question/15136793

#SPJ11

Robin records the height of her plant for 3 months. If the pattern continues, what algebraic expression can Robin use to find the plant's height for any month? What will the plants height be at 12 months

Answers

The plant's height at 12 months would be 38 inches.

How to calculate the height?

Assuming the plant's height follows a linear pattern, Robin can use the equation y = mx + b, where y is the height of the plant, x is the number of months, m is the slope or rate of growth, and b is the y-intercept or initial height.

To find the equation, Robin can use the data from the three months:

Month 1: Height = 5 inchesMonth 2: Height = 8 inchesMonth 3: Height = 11 inches

Using these data points, Robin can calculate the slope m:

m = (11-5)/(3-1) = 3 inches/month

Then, using the point-slope form of the equation, Robin can find the y-intercept b:

y - 5 = 3(x - 1)

y = 3x + 2

Therefore, the algebraic expression to find the plant's height for any month x is y = 3x + 2.

To find the plant's height at 12 months, Robin can substitute x = 12 into the equation:

y = 3(12) + 2 = 38 inches

So the plant's height at 12 months would be 38 inches.

Learn more about Height

brainly.com/question/10726356

#SPJ11

A bridge is to be built across a small lake from a gazebo to a dock. The bearing from the gazebo to the dock is S 41° W. From a tree 100 meters from the gazebo, the bearings to the gazebo and the dock are S 74° E and S 28° E, respectively (see figure). Find the distance from the gazebo to the dock

Answers

The distance from the gazebo to the dock is approximately 120.45 meters.

The given problem can be solved using the concept of trigonometry.

let the distance from the gazebo to the dock be "d".

According to the question it is known that the bearing from the gazebo to the dock is S 41° W which means that the angle between the line from the gazebo to the dock and due south is 41°.

Hence the angle between the line from the gazebo to the tree and due south is =(74°-41°) =33°

Similarly, the angle between the line from the dock to the tree and due south is = 28°-x =28°-41°= -13°(As it is to the west of south).

Using the trigonometry law of sines we can write,

d/ sin(41°) = 100/ sin(33°)

d=(100/sin(33°))*sin(41°)

d= 120.45 meters

To know about questions based on trigonometry:

https://brainly.com/question/27214274

#SPJ4

A car with a mass of 1200 kg and traveling 40 m/s east runs into the back of a parked truck with a mass of 2000 kg. After the collision the car and truck do not stick together, but the car is stopped. If momentum is conserved, what would the velocity of the truck be after the collision?

Answers

The velocity of the truck after the collision would be 24 m/s east.

The law of conservation of momentum states that the momentum of a closed system remains constant if no external forces act on it. In this case, we can assume that the car and the truck form a closed system.

The momentum of an object is given by its mass multiplied by its velocity, p = mv. Initially, the momentum of the system is:

p_initial = m_car * v_car + m_truck * v_truck

where m_car and v_car are the mass and velocity of the car, and m_truck and v_truck are the mass and velocity of the truck.

After the collision, the car is stopped, so its velocity is 0. The momentum of the system after the collision is:

p_final = m_car * 0 + m_truck * v'_truck

where v'_truck is the velocity of the truck after the collision.

Since momentum is conserved, we can set p_initial equal to p_final:

m_car * v_car + m_truck * v_truck = m_truck * v'_truck

Solving for v'_truck, we get:

v'_truck = (m_car * v_car + m_truck * v_truck) / m_truck

Substituting the given values, we have:

v'_truck = (1200 kg * 40 m/s + 2000 kg * 0 m/s) / 2000 kg

v'_truck = 24 m/s east

Therefore, the velocity of the truck after the collision would be 24 m/s east.

To know more about  law of conservation of momentum  refer here:

https://brainly.com/question/24131537

#SPJ11

3. What is the range of the functiony = 3x + 1 for

the domain 2 ≤ x ≤ 67

6 ≤ y ≤ 18

sy≤2

7 ≤ y ≤ 19

1

5

sys 3

Answers

The range of the function y = 3x + 1 for the domain 2 ≤ x ≤ 67 is given by the values of y when x varies from 2 to 67.

The minimum value of y is obtained when x = 2:
y = 3(2) + 1 = 7

The maximum value of y is obtained when x = 67:
y = 3(67) + 1 = 202

Therefore, the range of the function y = 3x + 1 for the domain 2 ≤ x ≤ 67 is 7 ≤ y ≤ 202.

The other ranges given (6 ≤ y ≤ 18, sy≤2, 7 ≤ y ≤ 19, 1, 5, sys 3) are not valid ranges for the function y = 3x + 1.

Several scientists decided to travel to South America each year beginning in 2001 and record the number of insect species they encountered on each trip. The table shows the values coding 2001 as 1, 2002 as 2, and so on. Find the model that best fits the data and identify its corresponding R2 value

Answers

The best-fitting model for the data and its corresponding R2 value need to be calculated.

How to model data?

To find the model that best fits the data and its corresponding R2 value, we would need to perform linear regression analysis on the data. However, since the data table is not provided, we cannot provide an answer to this question.

Linear regression analysis is a statistical method used to model the relationship between two variables. In this case, the variables are the year and the number of insect species encountered on each trip. By analyzing the data, we can determine the equation of the line that best fits the data and the R2 value, which represents the proportion of the variance in the data that is accounted for by the model. A higher R2 value indicates a better fit between the model and the data.

Learn more about R2 value

brainly.com/question/10598720

#SPJ11

Write three different pairs of coordinate points that form a line segment with a slope greater than 2.

Answers

Three pairs of coordinate points that form a line segment with a slope greater than 2 are: (x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 7), (x₁, y₁) = (1, 3) and (x₂, y₂) = (5, 13), (x₁, y₁) = (-2, 1) and (x₂, y₂) = (2, 9)

To find three pairs of coordinate points that form a line segment with a slope greater than 2, we need to choose pairs of points where the difference in y-coordinates is at least twice the difference in the corresponding x-coordinates.

Here are three pairs of coordinate points that satisfy this condition:

1.  (x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 7)

Using the slope formula, we get:

slope = (y₂ - y₁) / (x₂ - x₁) = (7 - 0) / (3 - 0) = 7/3, which is greater than 2.

2.  (x₁, y₁) = (1, 3) and (x₂, y₂) = (5, 13)

Using the slope formula, we get:

slope = (y₂ - y₁) / (x₂ - x₁) = (13 - 3) / (5 - 1) = 10 / 4 = 5 / 2, which is also greater than 2.

3. (x₁, y₁) = (-2, 1) and (x₂, y₂) = (2, 9)

Using the slope formula, we get:

slope = (y₂ - y₁) / (x₂ - x₁) = (9 - 1) / (2 - (-2)) = 8 / 4 = 2, which is exactly 2, but if we extend the line segment beyond these two points, the slope will become greater than 2.

Learn more about line segment here:

https://brainly.com/question/30709911

#SPJ11

The following two-way table shows the distribution of daily traffic and weather issues in a certain large city.



A 4-column table with 3 rows. Column 1 has entries bad weather, good weather, total. Column 2 is labeled heavy traffic with entries 25, 55, 80. Column 3 is labeled Light traffic with entries 5, 15, 20. Column 4 is labeled Total with entries 30, 75, 100. The columns are titled daily traffic and the rows are titled weather conditions.



Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent?



No, P(A) = P(B|A).


No, P(A) ≠ P(A|B).


Yes, P(A) = P(A|B).


Yes, P(A) ≠ P(B|A)

Answers

The correct answer is "No, P(A) ≠ P(A|B)".

How to solve

If the occurrence of one event has no bearing on the likelihood that the other will also occur, then the two events are independent.

The likelihood that both occurrences A and B will occur is defined mathematically as being equal to the product of the probabilities of A and B (i.e., P) (A and B).

Let event A = heavy traffic and event B = bad weather.

P(A)=  25/30 and P(B)=25/30

Two events are independent if the occurrence of one does not change the probability of the occurrence of the other.

This means P(A) = P(A|B) or P(B) = P(B|A).

For event A (heavy traffic), P(A) = 80/100 = 0.8.

For event B (bad weather), P(A|B) = 25/30 = 0.833.

Since P(A) ≠ P(A|B), events A and B are not independent.

So, the correct answer is "No, P(A) ≠ P(A|B)".

Read more about probability here:

https://brainly.com/question/24756209
#SPJ1

Kaden invested $5,000 into a savings account. The interest was compounded


annually at 2. 5%. How much interest will Kaden earn in 30 months?

Answers

Kaden will earn $729.38 in interest in 30 months.

First, we need to calculate the annual interest rate equivalent to 2.5% for 1 year:

[tex]1 + r = (1 + 0.025)^1[/tex]

1 + r = 1.025

r = 0.025

So, Kaden's account earns 0.025 or 2.5% interest per year.

Next, we can calculate the amount of interest Kaden will earn in 30 months, which is 2.5 years:

n = 2.5 (number of years)

P = $5,000 (principal)

r = 0.025 (annual interest rate)

We can use the compound interest formula to calculate the final amount A:

[tex]A = P(1 + r)^n[/tex]

[tex]A = 5000(1 + 0.025)^2^.^5[/tex]

A = $5,729.38

The interest earned is the difference between the final amount and the principal:

Interest = A - P

Interest = $5,729.38 - $5,000

Interest = $729.38

Therefore, Kaden will earn $729.38 in interest in 30 months.

Learn more about compound interest:

brainly.com/question/13155407

#SPJ4

Veronica has a goal of saving $12,000 for a car. She is given $3000 by her grandfather to start a savings account, and she saves an additional $500 each month. Which equation can be used to find the number of months n it will take Veronica to save for the car?

Answers

Answer:

m= month 12k - 3500= 950 she needs to save for 2 in a half months to get her car

Step-by-step explanation:

16.
The image of point (3,-5) under the translation that shifts (x, y)
to (x-1, y-3) is

Answers

Answer:

The answer would be D.

(3,-5) is the original image.
To find your X, use the x from the first image and fill in the x which would be (3-1) which gives you (2,y)


to find Y, use the y from the first image and fill it it which is ( (-5) - 3 ) which gives you (x,-8)


therefore the full answer would be D. (2,-8)

Step-by-step explanation:

The following selected transactions relate to investment activities of ornamental insulation corporation during 2021. the company buys debt securities, not intending to profit from short-term differences in price and not necessarily to hold debt securities to maturity, but to have them available for sale in years when circumstances warrant. ornamental’s fiscal year ends on december 31. no investments were held by ornamental on december 31, 2020.
mar. 31 acquired 6% distribution transformers corporation bonds costing $580,000 at face value.
sep. 1 acquired $1,170,000 of american instruments’ 8% bonds at face value.
sep. 30 received semiannual interest payment on the distribution transformers bonds.
oct. 2 sold the distribution transformers bonds for $623,000.
nov. 1 purchased $1,590,000 of m&d corporation 4% bonds at face value.
dec. 31 recorded any necessary adjusting entry(s) relating to the investments.
the market prices of the investments are:
american instruments bonds $1,102,000
m&d corporation bonds $1,670,000
(hint: interest must be accrued.)
required:
2. indicate any amounts that ornamental insulation would report in its 2021 income statement, 2021 statement of comprehensive income, and 12/31/2021 balance sheet as a result of these investments. include totals for net income, comprehensive income, and retained earnings as a result of these investments.
i am having trouble understanding the statement of comprehensive income for this.
i have net income: $102,2000
other comprehensive income:
reclassification adjustment: $43,000
gain on investments: $55,000
so this part equals (12,000)
than it wants me

Answers

Ornamental Insulation Corporation would report a net income of $1,022,000 and comprehensive income of $1,010,000 resulting from these investments in its 2021 financial statements.

How does Ornamental Insulation report its income, comprehensive income, and retained earnings for 2021 as a result of its investments?

Ornamental Insulation Corporation would report the following amounts in its 2021 income statement, statement of comprehensive income, and balance sheet as a result of the investment activities:

Income Statement:

Interest Income from American Instruments Bonds: $93,600 ($1,170,000 × 8%)

Gain on Sale of Distribution Transformers Bonds: $43,000 ($623,000 - $580,000)

Total Net Income: $136,600 ($93,600 + $43,000)

Statement of Comprehensive Income:

Gain on Investments: $55,000 (This represents the gain on the sale of the distribution transformers bonds and is included in the comprehensive income section.)

Balance Sheet (as of December 31, 2021):

Investments:

American Instruments Bonds: $1,102,000 (market value)

M&D Corporation Bonds: $1,670,000 (face value)

Accumulated Other Comprehensive Income: $55,000 (This represents the gain on investments and is included in the comprehensive income section.)

Retained Earnings: Increase of $136,600 (This represents the net income from the income statement.)

In summary, Ornamental Insulation Corporation would report a net income of $136,600, a comprehensive income of $55,000, and an increase in retained earnings of $136,600 as a result of these investments for the fiscal year 2021.

Learn more about Corporation

brainly.com/question/28017828

#SPJ11

The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no cheese. The staff made an equal number of each type of sandwich. The sandwiches were placed on a tray. Without looking, Mary will choose a sandwich. What are the chances that Mary will get a sandwich with cheese?
Responses

one eighth
one sixth
one third
one half

Answers

Answer:

Step-by-step explanation:

There are 8 equally likely sandwich options: rye and ham, rye and turkey, white and ham, white and turkey, rye and ham with cheese, rye and turkey with cheese, white and ham with cheese, white and turkey with cheese.

Since each type of sandwich was made in equal number, there are 4 sandwiches with cheese.

Therefore, the chances that Mary will get a sandwich with cheese is 4/8 or 1/2.

Answer: one half

Determine the values of a, b, and c in the following matrix equation.
4 a
[34]
30
52
[3
2 b5
1 8
LC
a.
b.
C.
54=
16.

Answers

The values of a, b, and c in the matrix equation are a = 3, b = 1 and c = 8

Determining the values in the matrix equation.

To determine the values of a, b, and c in the matrix equation:

4 a  +  3  0    = 7  3

3 4      5  b       c   5

By addition operation, we have

a + 0 = 3

3 + 5 = c

4 + b = 5

When the equations evaluated, we have

a = 3

c = 8

b = 1

The above are the values of a b and c

Read more about matrix at

https://brainly.com/question/11989522

SPJ1

Complete question

Determine the values of a, b, and c in the following matrix equation.

4 a  +  3  0    = 7  3

3 4      5  b       c   5

Frets are small metal bars positioned across the neck of a guitar so that the guitar can produce notes of a


specific scale. To find the distance a fret should be placed from the bridge, multiply the


string length by 2 " where nis the number of notes higher than the string 's root note.


Determine where to place a fret to produce an A note on a C string (5 notes higher) that is 70 cm long. Round


your answer to the nearest hundredth.


a. 52. 44 cm


C. 58. 33 cm


b. 93. 44 cm


d. 74. 92 cm

Answers

To produce an A note on a C string (5 notes higher) that is 70 cm long we should place a fret at a distance of 74.92cm from bridge.

To find where to place the fret, we use the formula:

distance from bridge = (string length) x [tex]2^{(n/12)[/tex]

In this case, the string length is 70 cm and we want to produce an A note on a C string, which is 5 notes higher.         So n = 5.

distance from bridge = [tex]70 * 2^{(5/12)[/tex]

Using a calculator, we get:

distance from bridge ≈ 74.92 cm

Therefore, the answer is d. 74.92 cm, rounded to the nearest hundredth.

To know more about fret refer here:

https://brainly.com/question/11667033

#SPJ11

A student is solving the problem |2−9x|=29. They know that one answer can be found by solving the equation 2−9x = 29. They subtract 2 to get −9x=27 and then divide by -9 to get x=−3. They think that this is one answer, and then take the absolute value of this to get their other answer of x=3. Did this student solve this problem correctly? If so, how can you show that they got it correct. If not, what mistake did they make and what should they have done instead?

Answers

The student did not solve the problem correctly. The student only discovered one of two solutions and made the mistake of presuming that the absolute value of -3 was the other solution without investigating the second situation.

When solving absolute value equations, we have to consider both cases:

|2-9x| = 29 can be rewritten as

2-9x = 29 or 2-9x = -29

Solving the first equation as the student did:

2-9x = 29

Subtracting 2 from both sides:

-9x = 27

Dividing both sides by -9:

x = -3

This is one solution, but we also need to solve the second equation:

2-9x = -29

Subtracting 2 from both sides:

-9x = -31

Dividing both sides by -9:

x = 31/9

So the two solutions are x = -3 and x = 31/9.

Taking the absolute value of -3 gives us 3, which is one of the solutions the student found. However, the other solution is x = 31/9, not |-3|.

Therefore, the student only found one of the two solutions and made an error in assuming that the absolute value of -3 was the other solution without considering the second case.

Learn more about absolute value equation at https://brainly.com/question/2166748

#SPJ11

hich of the following lists the range and IQR for this data?

The range is 10, and the IQR is 14.
The range is 10, and the IQR is 13.
The range is 14, and the IQR is 13.
The range is 14, and the IQR is 10

Answers

Answer:

The range is 10, and the IQR is 13.

Step-by-step explanation:

The range is the difference between the maximum and minimum values in a dataset, and the interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) of the dataset.

Since the range is the difference between the maximum and minimum values in the dataset, the range cannot be 14 and the IQR be 10, since 14 is greater than 10.

Therefore, the correct answer is:

The range is 10, and the IQR is 13.

3. Given f(x) = x² - 7x +13 and g(x) = x-2, solve f(x) = g(x) using the substitution method. Show your


work.


Answer:

Answers

The solutions for f(x) = g(x) are x = 5 and x = 3.

To solve f(x) = g(x) using substitution method, we need to substitute g(x) in place of x in the equation f(x) = x² - 7x + 13.

So, we have:

f(x) = g(x)
x² - 7x + 13 = x - 2   (Substituting g(x) = x - 2)

Now, we can solve for x by simplifying and solving the resulting quadratic equation:

x² - 8x + 15 = 0

Factoring the quadratic equation, we get:

(x - 5)(x - 3) = 0

So, x = 5 or x = 3.

Therefore, the solutions for f(x) = g(x) are x = 5 and x = 3.

To check, we can substitute each value back into the equations:

f(5) = 5² - 7(5) + 13 = 25 - 35 + 13 = 3
g(5) = 5 - 2 = 3

f(3) = 3² - 7(3) + 13 = 9 - 21 + 13 = 1
g(3) = 3 - 2 = 1

So, both solutions satisfy the original equation f(x) = g(x).

To know more about functions, refer to the link below:

https://brainly.com/question/10811719#

#SPJ11

Homework 8: Problem 5 Previous Problem Problem List Next Problem (1 point) Find all points of intersection (r, θ) of the curves t = 6 cos(θ), r= 2 sin(θ). Note. In this problem the curves intersect at the pole and one other point. Only enter the answer for nonzero r in the form (r, θ) with θ measured in radians.
Point of intersection= Need find the area inclosed in the intersection of the two graphs. Area =

Answers

The two points of intersection are (0, θ) and (0.247, θ).

The area enclosed in the intersection of the two graphs is 7π/2 square units.

To find the points of intersection of the curves:

We need to solve for θ when t = 6 cos(θ) = r/3.

We can substitute r = 2 sin(θ) into this equation to get:

6 cos(θ) = 2 sin(θ)/3
18 cos(θ) = 2 sin(θ)
9 cos(θ) = sin(θ)

Squaring both sides and using the identity sin^2(θ) + cos^2(θ) = 1, we get:

81 cos^2(θ) = 1 - cos^2(θ)
82 cos^2(θ) = 1
cos(θ) = ±sqrt(1/82)

Since we know that the curves intersect at the pole (r = 0), we only need to consider the positive root of cos(θ) to find the other point of intersection.

We can use the equation r = 2 sin(θ) to find the value of r:

r = 2 sin(θ) = 2 cos(θ) sqrt(1 - cos^2(θ)) = 2 sqrt(1/82) ≈ 0.247

So the two points of intersection are (0, θ) and (0.247, θ) where cos(θ) = sqrt(1/82) and θ is measured in radians.

To find the area enclosed in the intersection of the two graphs:

We can use the formula for the area of a polar region:

A = 1/2 ∫(r²) dθ

Since we know that the curves intersect at the pole and at (0.247, θ), we can split the integral into two parts:

A = 1/2 ∫(0 to π/2)(2 sin(θ))² dθ + 1/2 ∫(π/2 to π)(6 cos(θ))² dθ
A = π/4 + 27π/4
A = 7π/2

So the area enclosed in the intersection of the two graphs is 7π/2 square units.

To know more about Points of intersection:

https://brainly.com/question/13373561

#SPJ11

Already Know The Vertex but need help on the opens and axis of symmetry

Answers

Answer: x = -3

Step-by-step explanation:

Hope this helps.

Sikie Shoe Manufacturing Co. Was incorporated in the New York State on January 15, 2021 and received authorization to issue 100,000 shares of $25 par value, preferred stock 200,000 shares of $2 Par Value Common Stock. Prepare journal entries to record the following transactions. (40 POINTS)



1 What journal entry would you make on January 15, the authorization date?




2 On Jan. 20, 50,000 preferred stock were sold cash at $70 per share.






3 On February 1, 2021 Sikie Shoe Manufacturing Co. Issued 70,000 common shares with a Market price of $8







4 On February 15, 2021 Sikie Shoe Manufacturing Co. Issued 4,000 common shares to Delkab Consulting Co. In settlement of various Professional Services Provided at a fee of $100,000







5 On March 20, 2021 Mr. Park agreed to exchange a piece of land he owns with a fair value of $150,000 for 10,000 common shares. Sikie Shoe Manufacturing Co. Shares are actively traded at $10 per share on the stock exchange.







6 On July 1, 2021 Sikie Shoe Manufacturing Co. Issued 45,000 common shares for cash at a Market price of $25







7 As of July 31, How many common shares have been issued?





8 As of July 31, How many common shares are outstanding?




The following treasury stock transactions were made by Sikie in 2021 Prepare the necessary journal entries to record the transactions in the financial records of the company. (25 POINTS)


9 1-Aug Purchased 5,000 shares of its own $2 par value common stock at $20 per share







10 1-Sep Sold 1,500 shares of treasury stock purchased on August 1 for $30 per share








11 21-Oct Sold 700 shares of treasury stock purchased on August 1 for $27 per share








12 1-Nov Sold 900 shares of treasury stock purchased on August 1 for $13,500








13 18-Nov Sold 600 shares of treasury stock purchased on August 1 for $9,600





Prepare the stockholders' equity section of Sikie Shoe Manufacturing Co as of December 31, 2021 including disclosure of all relevant information. (Hint: Refer to Learning Objective 3 Illustration 13. 11 page 13-18 of your text book). (35 points)

Answers

To help you with the journal entries and preparation of the stockholders' equity section for Sikie Shoe Manufacturing Co, let's start with the journal entries for the given transactions:

On January 15, the authorization date:

Journal entry:

Common Stock (200,000 shares * $2 par value) $400,000

Preferred Stock (100,000 shares * $25 par value) $2,500,000

Authorized Capital Stock $2,900,000

On January 20, 50,000 preferred stock were sold for cash at $70 per share:

Journal entry:

Cash $3,500,000

Preferred Stock (50,000 shares * $25 par value) $1,250,000

Common Stock $1,250,000

Paid-in Capital in Excess of Par - Preferred Stock $2,250,000

On February 1, 70,000 common shares were issued with a market price of $8:

Journal entry:

Cash $560,000

Common Stock (70,000 shares * $2 par value) $140,000

Paid-in Capital in Excess of Par - Common Stock $420,000

On February 15, 4,000 common shares were issued to Delkab Consulting Co. in settlement of professional services provided at a fee of $100,000:

Journal entry:

Common Stock (4,000 shares * $2 par value) $8,000

Paid-in Capital in Excess of Par - Common Stock $92,000

Accounts Payable/Professional Services $100,000

On March 20, Mr. Park exchanged a piece of land with a fair value of $150,000 for 10,000 common shares:

Journal entry:

Land (fair value) $150,000

Common Stock (10,000 shares * $2 par value) $20,000

Paid-in Capital in Excess of Par - Common Stock $130,000

On July 1, 45,000 common shares were issued for cash at a market price of $25:

Journal entry:

Cash $1,125,000

Common Stock (45,000 shares * $2 par value) $90,000

Paid-in Capital in Excess of Par - Common Stock $1,035,000

Now let's move on to the questions regarding common shares issued and outstanding:

As of July 31, the number of common shares issued is:

Calculation: 70,000 (February 1) + 4,000 (February 15) + 10,000 (March 20) + 45,000 (July 1) = 129,000 common shares

As of July 31, the number of common shares outstanding is the same as the number of common shares issued since there are no repurchases or retirements mentioned.

Moving on to the treasury stock transactions:

On August 1, purchased 5,000 shares of its own $2 par value common stock at $20 per share:

Journal entry:

Treasury Stock $100,000

Cash $100,000

On September 1, sold 1,500 shares of treasury stock purchased on August 1 for $30 per share:

Journal entry:

Cash $45,000

Treasury Stock $30,000

To learn more about cash, refer below:

https://brainly.com/question/10776890

#SPJ11

A children's library has 5 storybooks for every 3 science books it has. The library also has the same number of picture books as science books. The library added 50 more picture books so now there are the same number of picture books as storybooks. How many of each of the book does the children's library have? Draw a model

Answers

The children's library has 75 science books, 125 picture books, and 125 storybooks.

How to solve for the number of books

z = 5x/3 (5 storybooks for every 3 science books)

y = x (the same number of picture books as science books)

y + 50 = z (the library added 50 more picture books so now there are the same number of picture books as storybooks)

Now, we can substitute the equations to solve for the number of each type of book:

From equation 2, we know that y = x. So, we can rewrite equation 3 as:

x + 50 = z

Now, we can substitute equation 1 into this equation:

x + 50 = 5x/3

Multiply both sides by 3 to eliminate the fraction:

3(x + 50) = 5x

3x + 150 = 5x

Subtract 3x from both sides:

150 = 2x

Divide both sides by 2:

x = 75

So, there are 75 science books in the library. Now we can find the number of picture books (y) and storybooks (z):

y = x = 75 (75 picture books before adding 50 more)

y = 75 + 50 = 125 (125 picture books after adding 50 more)

z = 5x/3 = (5 * 75) / 3 = 375 / 3 = 125 (125 storybooks)

So, the children's library has 75 science books, 125 picture books, and 125 storybooks.

Read more on algebra here:https://brainly.com/question/22399890

#SPJ1

A bookstore conducted a survey to see how many books their customers bought in a year. 100 customers were chosen at random. 30% of customers bought 3 books per year, 25% of customers bought 5 books per year, and 45% of customers bought 6 books per year. What was the average number of books bought per year?



Question 1 options:



4. 50




5. 75




4. 85

Answers

The average number of books bought per year by customers in the survey is approximately 4.85 books.

To find the average number of books bought per year, we need to calculate the mean of the data set. We can do this by using the formula:

Average = (Sum of all data points) / (Number of data points)

However, we do not have the actual number of data points. Instead, we have percentages. Therefore, we need to convert the percentages into actual numbers.

Out of 100 customers surveyed:

30% bought 3 books, which is equal to 30/100 x 100 = 30 customers

25% bought 5 books, which is equal to 25/100 x 100 = 25 customers

45% bought 6 books, which is equal to 45/100 x 100 = 45 customers

Now, we can calculate the average number of books bought per year using the formula mentioned earlier:

Average = (30 x 3) + (25 x 5) + (45 x 6) / (30 + 25 + 45)

Simplifying the above equation, we get:

Average = (90 + 125 + 270) / 100

Therefore, the average number of books bought per year is:

Average = 485/100

Average = 4.85 books per year (rounded to two decimal places)

To know more about average here

https://brainly.com/question/16956746

#SPJ4

Mrs. Carter baked a cake that was in the shape of a rectangular prism. The cake was 24 inches long, 15 inches wide and 3 inches high. She spread frosting on all four sides and the top. How many square inches of frosting did she use?



477 inches squared


594 inches squared


954 inches squared


1080 inches squared

Answers

Mrs. Carter used 954 square inches of frosting.

To find the surface area of the rectangular prism cake, we need to find the area of all six sides and then subtract the bottom since frosting was not applied to it.

The area of the top and bottom sides is 24 x 15 = 360 square inches each.

The area of the two side faces is 24 x 3 = 72 square inches each.

The area of the two end faces is 15 x 3 = 45 square inches each.

So, the total surface area of the cake is:

2(360) + 2(72) + 2(45) = 720 + 144 + 90 = 954 square inches.

Since frosting was applied to all sides, including the top, we use this surface area to find the amount of frosting used.

Therefore, Mrs. Carter used 954 square inches of frosting.

To know more about frosting refer here:

https://brainly.com/question/28868204

#SPJ11

Leroy is building a slide for his kids. If the ladder is 5 feet tall and he wants the bottom of the slide to be 12 feet from the ladder, how long does the slide need to be?

Answers

We can use the Pythagorean theorem to solve this problem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

Let x be the length of the slide. Then we have a right triangle with legs of length 5 (the height of the ladder) and x, and hypotenuse of length 12 (the distance from the ladder to the bottom of the slide).

Using the Pythagorean theorem:

12^2 = 5^2 + x^2

144 = 25 + x^2

Subtracting 25 from both sides:

119 = x^2

Taking the square root of both sides:

x ≈ 10.91

Therefore, the slide needs to be about 10.91 feet long.

under a time crunch, you only have time to take a sample of 15 water bottles and measure their contents. the sample had a mean of 20.05 ounces with a sample standard deviation of 0.3 ounces. what would be the 90% confidence interval, when we assumed these measurements are normally distributed? g

Answers

The 90 % confidence interval is ( 19.92 , 20.18 )

What is confidence interval?

A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.

What is a z-score?

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the number of samples n = 15

Let the mean of the sample be μ = 20.05

Let the standard deviation σ = 0.3

Now , the z score of 90 % confidence interval is z = 1.645

The 90% confidence interval is calculated by the equation

A = μ ± z ( σ / √n )

Substituting the values in the equation , we get

P = μ + z ( σ / √n )

Q = μ - z ( σ / √n )

Now , the value of P is

P = 20.05 + 1.645 ( 0.3/√15 )

P = 20.05 + ( 0.4935 / 3.873 )

P = 20.05 + 0.12742

P = 20.18

Now , the value of Q is

Q = μ - z ( σ / √n )

Q = 20.05 - 1.645 ( 0.3/√15 )

Q = 20.05 - ( 0.4935 / 3.873 )

Q = 20.05 - 0.12742

Q = 19.92

Learn more about confidence interval here :-

https://brainly.com/question/29680703

#SPJ4

Your doing practice 4

Answers

For a snowboard cost that was reduced by 40% by the end of the season, the snowboard cost $450 when it was new.

How to find original cost?

To find the original cost of the snowboard, let the original price of the snowboard be x.

After a 40% reduction in price, the snowboard costs 60% of its original price, therefore the cost remaining percentage of the original prize times the reduction percentage = the price after reduction:

100% - 40% = 60%

60/100 = 0.6

0.6x = 270

Solving for x to get:

x = 270/0.6 = 450

Therefore, the original price of the snowboard was $450.

Find out more on original price here: https://brainly.com/question/26008313

#SPJ1

April’s grandmother bought her a set of Russian dolls from St. Petersburg. The dolls stack inside of each other and are similar to each other. The diameters of the two smallest dolls are 1. 9 cm and 2. 85 cm. The scale factor is the same from one doll to the next. April estimates that the volume of the smallest doll is 7 cm^ 3. Determine the volume of the 4th doll

Answers

The volume of the 4th doll is approximately [tex]130.1 cm^3.[/tex]

The diameter of the smallest doll is 1.9 cm, so its radius is 0.95 cm (half of the diameter).

Similarly, the radius of the second smallest doll is (2.85/2) = 1.425 cm.

Since the scale factor is the same from one doll to the next, the ratio of the radius of the second smallest doll to the radius of the smallest doll is:

1.425 cm / 0.95 cm = 1.5

Similarly, the ratio of the radius of the third smallest doll to the radius of the second smallest doll is also 1.5.

Using this pattern, we can find the radius of the 4th doll as:

Radius of 4th doll = 1.5 × (Radius of 3rd doll) = 1.5 × 2.1375 cm = 3.2063 cm (rounded to 4 decimal places)

The volume of the 4th doll can then be calculated as:

Volume of 4th doll = (4/3) × π ×[tex](Radius of 4th doll)^3[/tex]

                           = (4/3) × π × [tex](3.2063 cm)^3[/tex]

                           ≈ [tex]130.1 cm^3[/tex]

Therefore, the volume of the 4th doll is approximately [tex]130.1 cm^3.[/tex]

To know more about diameter refer here

https://brainly.com/question/5501950#

#SPJ11

Which number line shows the sum of -8, 4, and -2?
o
a +++++
-15
10
-5
0
5
10
15
b the
- 15
- 10
-5
0
15
10
15
o
chef
15
-10
5
0
5
10
15
o
d
-15
-10
0
5
110
15

Answers

Add the given numbers: -8 + 4 + (-2) = -6. So, the sum of -8, 4, and -2 is -6.

Which number line shows the sum of -8, 4, and -2?

To represent -6 on a number line, we need to find its position relative to zero. Since -6 is negative, it will be located to the left of zero. We count 6 units to the left of zero on the number line to represent -6. Therefore, the number line that shows the sum of -8, 4, and -2 is:

o----+----+----+----+----+----+----+----+----+----o

-15 -10 -5 0 5 10 15 20 25 30

-6

So, the complete answer is:

The sum of -8, 4, and -2 is -6.

To represent -6 on a number line, locate 6 units to the left of zero.

Learn more about number line",

brainly.com/question/13425491

#SPJ11

Other Questions
How did France avoid the worst of the Depression?What standard did both countries hold onto? How did it affect each country?How long did it take for each country to get out of the depression? Challenge: Let f(x) be a polynomial such that f(0) = 6 and f(2) 1 22 23 dc is a rational function. Determine the value of f'(o). f(0) = Select the correct answer.read the statement from the passage.while the regular and trained hirelings of the king marched with haughtiness to the right of the line, the less pretending colonists took their humbler position on its left, with a docility that long practice had rendered easy.what can be inferred from this statement?a. the colonists felt great admiration for the soldiers of the king's army.b. the colonists were not as willing to fight as the soldiers of the king's army were.c. the soldiers of the king's army felt superior to the colonists fighting alongside them.d. the soldiers of the king's army had not practiced marching as often as the colonists had. The ability of insurance to spread risk is limited by. 1- what volume of 0. 200 m hcl solution is needed to neutralize 25. 0 ml of 0. 150 m naoh solution?2- what volume of 1. 00 m naoh is required to neutralize 35. 0 ml of 0. 220 m sulfuric acid, h2so4?3- what volume of 1. 00 m naoh is required to neutralize 0. 0100 l of 0. 143 m phosphoric acid, h3po4?4- what volume of 1. 000 m ca(oh)2 is needed to neutralize 45. 0 ml of 0. 400 m hcl?5- what volume of 0. 204 m h3po4 can furnish the same number of moles of h+ ions as 61. 2 ml of 0. 800 m hcl? Select the best response to the following questions. A person who is responsible, persevering, thorough, and achievement oriented displays what dimension? Personality Extraversion O Conscientiousness O Agreeableness If you apply 1,200 Newtons of force to an object and move it 8 meters, how much work do you do on the object? Shelby was in the next stall, and she needed 150 mL of a solution that was 30% glycerin. The two solutions available were 10% glycerin and 40% glycerin. How many milliliters of each should Shelby use? un truc pour comjugue les verbes au 3eme groupe Please help I will mark brainliestIn a lab,a scientist puts x bacteria on a culture at 1:00 pm. The amount ofbacteria triples every hour. At 7:00 pm when there are 255,150 bacteria inthe culture. What is the value of x? Enter numbers only pleaseee biases are something we all have, and it is important to be aware of what biases you have in order to monitor them carefully. biases can be personal or professional in nature and confronting biases can help to overcome them. discuss some areas on which you hold biases (divorce, domestic violence, death penalty, spanking, etc.) what are your personal/professional biases? what harm can result from not being aware of them? what standards are violated if they are not acknowledged and addressed? Find the volume of a hexagonal prism whose basehas area 30. 5 square centimeters and whose height is 6. 5 centimeters 50 Points! Multiple choice Algebra question. State the number of real zeros for the function whose graph is shown. Photo attached. Thank you! What first three paragraphs serve to introduce Why did the framers of the US Constitution choose a federal government?The framers knew they needed a strong government, because individual states had proven that they were unable to create How many liters will 2. 5 moles of gas occupy at 322 K and. 90 atm of pressure? what are traits of high-performing teams? multiple select question. they prefer to stick with ideas that are tried and true. they view diverse opinions as natural and as sources of innovation. they avoid situations where diversity among members may cause conflict. they welcome new ideas, even when they conflict with current ideas. need help? review these concept resources. Why are the languages, Czech, Slovene and Slovak considered slightly endangered by some linguists? Determine the yield-to-call (to the nearest 0.1 of a percent) of an ltv bond with a 14 percent coupon, that pays interest semiannually. the bond can be called in 7 years, has a call premium of $140, and is currently selling for $1,154. WILL MARK BRAINLIEST