ETA 4



Answer the following:



Myla bought an item P2,500. She decided to sell it wil 2% markup. How much will Myla’s selling price be?



Joan sold her old iphone for P5000 at 8% markdown rate. Find the markdown and the original cost of the phone.



A student assistant bought an item for P520 but later decided to sell it at P550. What is the markup?



Mother organize a garage sale and earned P120 on one item at 60% markdown. How much did mother buy the item?



The cost of a t-sirt from the manufacturer is P400. If loan wants a 30% markup based on the selling price, how much will her selling price be?

Answers

Answer 1

1. Myla bought an item for P2,500 and decided to sell it with a 2% markup. The selling price will be P2,500 + (2% of P2,500) = P2,500 + P50 = P2,550.

2. Joan sold her old iPhone for P5,000 at an 8% markdown rate. To find the markdown and the original cost, we first calculate the markdown: P5,000 = 92% of original price. So, the original price was P5,000 ÷ 0.92 ≈ P5,434.78. The markdown is P5,434.78 - P5,000 = P434.78.

3. The student assistant bought an item for P520 and sold it for P550. The markup is P550 - P520 = P30.

4. Mother earned P120 on an item at a 60% markdown. Let X be the original price, then X * 60% = P120. X = P120 ÷ 0.60 = P200. So, the mother bought the item for P200.

5. The cost of a t-shirt from the manufacturer is P400. If Loan wants a 30% markup based on the selling price, we'll let X be the selling price, then X - 30% of X = P400. So, 0.7X = P400. X = P400 ÷ 0.7 ≈ P571.43. Loan's selling price will be P571.43.

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Related Questions

If a cone with a volume of 6 cm3 is enlarged by a scale factor of 2, what is the volume, in cubic centimeters, of the similar, larger cone?

Answers

The volume of the larger cone will be 48 cm³.

This is because when a shape is enlarged by a scale factor of 2, the volume is increased by a factor of 2³ (or 8). So, 6 x 8 = 48.


When we enlarge a shape by a scale factor, we are multiplying all of its dimensions by that factor. In the case of a cone, this means that we are increasing the radius and the height of the cone by a factor of 2.

We can use the formula for the volume of a cone to find out how the volume changes when we enlarge it. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius and h is the height.

If we multiply the radius and the height of the cone by 2, we get a new cone with a radius of 2r and a height of 2h. Plugging these new values into the formula for the volume of a cone, we get:

V' = (1/3)π(2r)²(2h) = (1/3)π(4r²)(2h) = (8/3)πr²h

We can simplify this expression by multiplying the original volume by 8/3:

V' = (8/3) x 6 = 48

So the volume of the larger cone is 48 cubic centimeters.

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The surface area of the square pyramid is 84 square inches. The side length of the base is 6 what is the value of x

Answers

With the surface area of the square pyramid 84 square inches and side length of the base is 6, the value of x is 4 inches, by assuming x as the slant height of the square pyramid.

Assuming that x refers to the slant height of the square pyramid, we can use the formula for the surface area of a square pyramid to solve for x:

Surface area of a square pyramid = base area + (0.5 x perimeter of base x slant height)

Since the base of the square pyramid is a square with side length 6,

the base area is 6² = 36 square inches.

The perimeter of the base is 4 times the side length, so it is 4 x 6 = 24 inches.

Substituting these values into the formula and simplifying, we get:

84 = 36 + (0.5 x 24 x x)

84 - 36 = 12x

48 = 12x

x = 4

Therefore, the value of x, the slant height of the square pyramid, is 4 inches.

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Solve for the unknown value.
x
61
42
degrees.

Answers

Hi! To solve for the unknown value in the equation "x + 61 + 42 = degrees", follow these steps:

1. Combine the known values (61 and 42) by adding them together: 61 + 42 = 103.
2. Rewrite the equation with the combined values: x + 103 = degrees.
3. To isolate the unknown value (x), subtract 103 from both sides of the equation: x = degrees - 103.

So, the unknown value x can be found by subtracting 103 from the given degrees value.

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CAN SOMEONE SHOW ME STEP BY STEP ON HOW TO DO THIS SOMEONE GAVE ME THE WRONG STEPS
A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.

A polygon with a horizontal top side labeled 45 yards. The left vertical side is 20 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 10 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 12 yards.

What is the area of the playground?

900 square yards

855 square yards

1,710 square yards

1,305 square yards

Answers

The area of the playground include the following: 900 square yards.

How to calculate the area of a regular polygon?

In Mathematics and Geometry, the area of a regular polygon can be calculated by using this formula:

Area = (n × s × a)/2

Where:

n is the number of sides.s is the side length.a is the apothem.

In Mathematics and Geometry, the area of a parallelogram can be calculated by using the following formula:

Area of a parallelogram, A = base area × height

Area of playground, A = 45 × 20

Area of a playground, A = 900 square yards.

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Help please! I'm really struggling here ((40 points))

Answers

Answer:

k = - 0.36 or k = 30.36

Step-by-step explanation:

k² - 30k = 11

to complete the square

add ( half the coefficient of the k- term )² to both sides

k² + 2(- 15)k + 225 = 11 + 225

(k - 15)² = 236 ( take square root of both sides )

k - 15 = ± [tex]\sqrt{236}[/tex] ≈ ± 15.36 ( to the nearest hundredth )

add 15 to both sides

k = 15 ± 15.36

Then

k = 15 - 15.36 = - 0.36

or

k = 15 + 15.36 = 30.36

1 A) (In(x) +1) 2x In(2) Denivate h(x) = √xen(x) h( 1 B) In() + V2V C) V 2. In(x) + 2 D) In (30) + 2ln()

Answers

The derivatives of the given functions are:

A) h'(x) = (1/2)√xen(x)[2+In(x)]

B) h'(x) = (1/x) - V2V

C) h'(x) = (2/x) + 2

D) h'(x) = 0

A) To find the derivative of h(x) = √xen(x), we use the product rule of differentiation. Let u = √x and v = en(x).

Then, h(x) = uv, and h'(x) = u'v + uv'.

We have u' = (1/2)x^(-1/2) and v' = en(x)(1/x).

Substituting the values, we get h'(x) = (1/2)√xen(x)[2+In(x)].

B) To find the derivative of h(x) = In(x) + V2V, we use the sum rule of differentiation.

Using the properties of logarithms, we rewrite the function as h(x) = In(x) + (1/2)ln(x).

Taking the derivative, we get h'(x) = (1/x) - V2V.

C) To find the derivative of h(x) = V2 In(x) + 2, we use the sum rule of differentiation.

Taking the derivative, we get h'(x) = (2/x) + 2.

D) To find the derivative of h(x) = In(30) + 2ln(x), we use the sum rule of differentiation.

Taking the derivative, we get h'(x) = 0, since the derivative of a constant is always zero.

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please answer, i have 5 mins

Use each of these rules to create 4 ordered pairs using the two sequences.

The first rule is add 12, then divide by 2, starting from 4.

The second rule is multiply by 2, then subtract 2, starting from 3.

Which table shows the 4 ordered pairs created using the two sequences?

A table with three columns. The first column is labeled rule 1, the second column is labeled rule 2, and the third column is labeled ordered pair. There are four rows below the heading row. Under column rule 1 are the numbers zero, four, six, and seven. Under column rule 2 are the numbers three, five, nine, and seventeen. Under the column labeled ordered pair are zero and three, four and five, six and nine, and seven and seventeen.
A table with three columns. The first column is labeled rule 1, the second column is labeled rule 2, and the third column is labeled ordered pair. There are four rows below the heading row. Under column rule 1 are the numbers two, six, eight, and nine. Under column rule 2 are the numbers two, four, ten, and twenty-eight. Under the column labeled ordered pair are two and two, six and four, eight and ten, and nine and twenty-eight.
A table with three columns. The first column is labeled rule 1, the second column is labeled rule 2, and the third column is labeled ordered pair. There are four rows below the heading row. Under column rule 1 are the numbers four, eight, ten, and eleven. Under column rule 2 are the numbers three, four, six, and ten. Under the column labeled ordered pair are four and three, eight and four, ten and six, and eleven and ten.
A table with three columns. The first column is labeled rule 1, the second column is labeled rule 2, and the third column is labeled ordered pair. There are four rows below the heading row. Under column rule 1 are the numbers six, eight, twelve, and twenty. Under column rule 2 are the numbers one, eight, twenty-two, and fifty. Under the column labeled ordered pair are six and one, eight and eight, twelve and twenty-two, and twenty and fifty.

Answers

Ordered pairs must be placed in the following order: (6, 1), (8, 8), (12, 22). (20, 50). The right answer is D.

What is arithmetic?

According to the assertions, it deals with a number of operations in mathematics.

For the first series, let the number be x, and for the second, let it be y.

The first rule is to multiply by 2, then, beginning with 6, remove 4.

The sequence can be written as 6 is the first number: = 2x - 4

next number = 2(6) - 4

                    = 12-4

                    =  8

The following phrase is thus 8. The following two terms can be written as 12 and 20.

Values of x = 6, 8, 12, 20

The second rule is to add three and then multiply by two, counting backward from one.

= (y + 3)2

First term = 1

Next term = (1 + 3)2

               =  8

The next two words can be acquired in a similar manner.

y = 1, 8, 22, 50

Therefore, ordered pairs must be placed in the following order: (6, 1), (8, 8), and (12, 22). (20, 50). The right answer is D.

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Correct question:

The first rule is to multiply by 2, then subtract 4 starting from 6. The second rule is to add 3, then multiply by 2 starting from 1. What are the first four ordered pairs using the two sequences?

A. (0, 0) (6, 1), (8, 2), (12, 22)

B. (6, 1), (10, 8), (14,22), (22, 50)

C. (6, 1), (8, 8), (12, 20), (20, 45)

D. (6, 1), (8, 8), (12, 22), (20, 50)

Find the probability that a randomly selected point within the circle falls in the white area. R=4 cm 2. 5 cm 3 cm 3 cm [?]% Round to the nearest tenth of a percent. ​

Answers

The probability is approximately 45.4% (rounded to the nearest tenth of a percent).

To find the probability that a randomly selected point within the circle falls in the white area, we need to find the area of the white region and divide it by the total area of the circle.

The total area of the circle is:

A = πr² = π(4 cm)² = 16π cm²

The area of the white region can be found by subtracting the area of the two semicircles from the area of the circle:

White area = A - 2(1/2π(2.5 cm)²) = 16π - 2(4.375π) = 7.25π cm²

So, the probability that a randomly selected point within the circle falls in the white area is:

P(white area) = (white area)/(total area) = (7.25π)/(16π) ≈ 45.4%

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from a circular sheet of a radius 5cm, a circle of radius 3cm is removed. find the area of the remaining sheet

Answers

Area of remaining sheet = 50. 28cm²

Check the picture below.

[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2 - r^2) ~~ \begin{cases} R=\stackrel{outer}{radius}\\ r=\stackrel{inner}{radius}\\[-0.5em] \hrulefill\\ R=5\\ r=3 \end{cases}\implies A=\pi (5^2-3^2)\implies A\approx 50.27~cm^2[/tex]

Find the value of x.

Answers

Step-by-step explanation:

180° + 42° + x = 360°

222° + x = 360°

x = 138°

Answer:

138

Step-by-step explanation:

Since a circle is 360 degrees and it is split in half, each half would equal 180 degrees so you would subtract 42 from 180

Identify the equation of the line that passes through the pair of points (−3, 6) and (−5, 9) in slope-intercept form.

Answers

Therefore, the equation of the line that passes through the points (-3, 6) and (-5, 9) in slope-intercept form is:

y = -3/2 x + 3/2

Step-by-step explanation:

To find the equation of the line that passes through the points (-3, 6) and (-5, 9) in slope-intercept form (y = mx + b), we need to first find the slope of the line using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-3, 6) and (x2, y2) = (-5, 9).

m = (9 - 6) / (-5 - (-3))

m = 3 / (-2)

m = -3/2

Now that we have the slope, we can use either of the two given points and the slope to find the y-intercept (b) of the line:

y = mx + b

6 = (-3/2)(-3) + b

6 = 9/2 + b

b = 6 - 9/2

b = 3/2

Three students each calculated the volume of a sphere with a radius of 6 centimeters.

-Diego found the volume to be 288
cubic centimeters.
-Andre approximated 904 cubic centimeters.
-Noah calculated 226 cubic centimeters.

Do you agree with any of them? Explain your reasoning.

Answers

Answer:

It seems that the three students each calculated the volume of a sphere with a radius of 6 centimeters, but arrived at different results. Diego found the volume to be 288 cubic centimeters, Andre approximated it to be 904 cubic centimeters, and Noah calculated it to be 226 cubic centimeters. It's interesting to see the variation in their calculations.

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Helps me please What is most likely to push the price of a company's stock higher?


O A. An increase in demand for the company's stock


OB. An increase in demand for the company's products


O C. An increase in tariffs paid by the company's competitors


O D. An increase in the exchange rate for the US dollar


SUBMIT


PREVIOUS


e to search


O


RI

Answers

The most likely factor to push the price of a company's stock higher is an increase in demand for the company's stock. Option A.

A stock's price will often increase when there is greater demand than there is supply. Various things, such as good news about the company's financial performance, new product releases or innovations, positive analyst reports, or general market trends, can contribute to this increased demand.

The company's financial performance may benefit from a rise in product demand, but if investors do not view it as a key growth engine for the business, it may not necessarily transfer into a higher stock price.

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find the missing side length

Answers

Answer:

Step-by-step explanation:

[tex]x^{2}[/tex]=a²+b²

x²=6²+2.5²

x²=36+6.25

x²=42.25

√x=√42.25

x=6.5

Answer:

6.5

Step-by-step explanation:

6^2 + 2.5^2 = c^2

•36 + 6.25 = c^2

•42.25 = c^2

• find square root of 42.25 = 6.5

• 6.5 = C

The price of a shirt after 25% discount is R480 calculate the original price of the shirt

Answers

discount amount= CP-Disount percentage

or,480=CP-25/100

or480×100+25 =CP

48025 is the original price of shirt

PLEASE HELP MEE

4 thumb drives and 1 compact disk have a total capacity of 18 gigabytes. 3 compact disks and 4 thumb drives have a total capacity of 22 gigabytes. Find the capacity of 1 thumb drive (x) and the capacity of 1 compact disk (y)

Answers

The capacity of 1 thumb drive is 4 gigabytes and the capacity of 1 compact disk is 2 gigabytes.

What is the capacity of 1 thumb drive and 1 compact disk?

The first step is to form the system of equations that represent the information in the question:

4x + y = 18 equation 1

4x + 3y = 22 equation 2

The elimination method would be used to determined the required values.

Subtract equation 1 from equation 2

2y = 4

y = 4/2

y = 2

Substitute for y in equation 1: 4x + 2 = 18

4x = 18 - 2

4x = 16

x = 16/4

x = 4

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Solve the differential equation. dy + 6ydx=9e -⁶x dx y=

Answers

The general solution to the given differential equation:

[tex]y = (9x + C)e^(-6x)[/tex]

To solve the given differential equation, dy + 6ydx = 9e^(-6x)dx, we can first rewrite it as a first-order linear differential equation:

[tex]dy/dx + 6y = 9e^(-6x)[/tex]

Now, we will find the integrating factor, which is e^(∫P(x)dx), where P(x) is the coefficient of y in the equation:

Integrating factor =[tex]e^(∫6dx) = e^(6x)[/tex]

Next, we multiply the entire differential equation by the integrating factor:

[tex]e^(6x)(dy/dx + 6y) = 9e^(-6x)e^(6x)[/tex]

This simplifies to:

[tex]e^(6x)(dy/dx) + 6e^(6x)y = 9[/tex]

Now, the left side of the equation is the derivative of the product of y and the integrating factor:
[tex]d/dx(y * e^(6x)) = 9[/tex]

To solve for y, integrate both sides with respect to x:

[tex]∫[d/dx(y * e^(6x))]dx = ∫9dx[/tex]

This results in:

[tex]y * e^(6x) = 9x + C[/tex]

Finally, we solve for y by dividing by e^(6x):

[tex]y = (9x + C)e^(-6x)[/tex]

And that is the general solution to the given differential equation.

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What is the probability that a randomly selected participant dreams in black and white or color?

Answers

The evaluated probability of randomly choosing a  participant dreams in black and white or color is 0.13, under the condition that the given Students are passing from psychology surveyed 200 of their fellow students regarding their dreams.

Probability means the possible chances of an event occurring in a particular time frame. It is a considered a branch of mathematics that deals with the occurrence of a random event.

The value is presented from zero to one. Probability has been induced in math to predict how prone are the events going to occur. The meaning of probability is basically the express  something that is likely to happen.

Black Probability = 4/200=0.02

White Probability = 12/200=0.06

Probability of all other color = 10/200=0.05

So, probability of randomly choosing a participant dreams in black and white or color =0.02+0.06+0.05=0.13

Therefore, the probability of randomly selecting participant dreams in black and white or color = 0.13

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The complete question is

Students majoring in psychology surveyed 200 of their fellow students about their dreams. The results of the survey are shown in the Venn diagram. Let B be the event that the participant dreams in black and white and let C be the event that the participant dreams in color.

What is the probability that a randomly selected participant dreams in black and white or color?

The library in natchitoches had about 60000 volumes in march 2004 and was adding about 400 volumes per month Write an equation expressing y, the total number of volumes in the library, in terms of x, the number of mouths after march 2004

Answers

The equation expressing y, as the total number of volumes in the library, in terms of x, the number of mouths after march 2004 is y = 400x + 60,000.

What is the equation for the volumes in library?

The equation expressing y, as the total number of volumes in the library, in terms of x, the number of mouths after march 2004 is determined as follows;

Using general linear equation;

y = mx + b

where:

y is the total number of volumes in the libraryx is number of months after March 2004m is the rate of change b is the initial number of volumes in the library in March 2004

The initial volume as at March = 60,000

the rate = 400 volumes / month

The equation is determined as;

y = 400x + 60,000

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Determine how long it will take for 650 mg of a sample of chromium-51, which has a half life of 28 days, to decay to 200 mg.

Answers

It will take approximately 60.9 days for 650 mg of chromium-51 to decay to 200 mg.

What is Equation ?

An equation is a mathematical statement that shows that two expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

The decay of a radioactive substance can be modeled by the following equation:

N(t) = N₀ * [tex](1/2)^{(t/T) }[/tex]

where:

N(t) is the amount of the substance remaining after time t

N₀ is the initial amount of the substance

T is the half-life of the substance

We can use this equation to find how long it will take for 650 mg of chromium-51 to decay to 200 mg.

Let's first find the decay constant (λ) for chromium-51:

λ = ㏒(2) ÷ T = ㏒(2) ÷ 28 = 0.0248 (rounded to 4 decimal places)

Now we can use the equation:

N(t) = N₀ * [tex]e^{(-λ*t)}[/tex]

We know that N₀ = 650 mg and N(t) = 200 mg, so we can solve for t:

200 = 650 * [tex]e^{(-0.0248*t)}[/tex]

Dividing both sides by 650:

0.3077 =   [tex]e^{(-0.0248*t)}[/tex]

Taking the natural logarithm of both sides:

㏒(0.3077) = -0.0248*t

Solving for t:

t = ㏒(0.3077) : (-0.0248) ≈ 60.9 days

Therefore, it will take approximately 60.9 days for 650 mg of chromium-51 to decay to 200 mg.

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Antonia read an article that said 26% of Americans can speak more than one language. She was curious if


this figure was higher in her city, so she tested H, :p=0. 26 vs. H, :p > 0. 26, where p represents the


proportion of people in her city that can speak more than one language.


Antonia took a sample of 120 people in her city found that 35% of those sampled could speak more than


one language. The test statistic for these results was z ~ 2. 25, and the corresponding P-value was


approximately 0. 1. Assume that the conditions for inference were met.


Is there sufficient evidence at the a= 0. 05 level to conclude that the proportion of people in her city


that can speak more than one language is greater than 26%?

Answers

There is not sufficient evidence at the α=0.05 level to conclude that the proportion of people in Antonia's city that can speak more than one language is greater than 26%.

Here's a step-by-step explanation:

1. Identify the null hypothesis (H₀) and the alternative hypothesis (Hₐ): H₀: p = 0.26, Hₐ: p > 0.26.

2. Determine the significance level (α): α = 0.05.

3. Calculate the test statistic (z): In this case, z ≈ 2.25.

4. Determine the P-value: The P-value is given as approximately 0.1.

5. Compare the P-value to the significance level: If the P-value is less than or equal to the significance level (α), reject the null hypothesis. In this case, 0.1 > 0.05, so we do not reject the null hypothesis.

Based on the information provided, there is not sufficient evidence at the α=0.05 level to conclude that the proportion of people in Antonia's city that can speak more than one language is greater than 26%.

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A food truck owner charges z dollars per burrito combo and $1. 50 for a side of guacamole. The expression 5 (x + 1. 50) represents the


total cost of 5 burrito combos and 5 sides of guacamole.


Which expression also represents the total cost of 5 burrito combos, which cost a dollars each, and 5 sides of guacamole, which cost $1. 50


each?


0

Answers

The expression that fits perfect for the given requirement is 5z + 7.50, under the condition that a food truck owner charges z dollars per burrito combo and $1.50 for a side of guacamole.

Here we have to apply the principles of solving algebraic equations, due to the expression provided.

From the  given information, here the food truck owner charges z dollars per burrito combo along with $1.50 for a side of guacamole.

According to the information it is given that the  expression is  5(z+1.50)  which helps to state the total cost of 5 burrito combos and 5 sides of guacamole.

Lets now formulate the expression for the given required equation

= 5(z + 1.50)

= 5z + 7.50.

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A food truck owner charges z dollars per burrito combo and $1.50 for a side of guacamole. The expression 5(z+1.50) represents the total cost of 5 burrito combos and 5 sides of guacamole. What expression also represent the cost of 5 burrito combos and 5 sides if guacamole that cost 1.50 each.

8. The table shows the number of different
kinds of sodas sold at a gas station on a
Monday.
A.
B.
Kind of Soda
18
If the gas station had 80 customers on
Tuesday, how many customers can be
predicted to get a Dr. Pepper?
C. 45
Coks
Sprite
Dr. Papper
7-Up
36
Number of
Bottles Sold
11
D. Not Here

Answers

36 Since there were 40 customers and 18/40 = 36/80

Dominic and his parents plan to share the cost of his college education. The annual



tuition cost for the college he wants to attend is $7,260 per year. His parents will pay 80%



of the annual tuition. He has one year to save his portion of the first year's tuition. What is



the minimum monthly amount he needs to save?

Answers

Dominic will need to save a minimum of $121 per month to pay for his portion of the first year's tuition.

Dominic's parents will pay 80% of the annual tuition cost, which is:

0.8 x $7,260 = $5,808

So, Dominic will need to pay the remaining 20% of the tuition cost, which is:

0.2 x $7,260 = $1,452

Since Dominic has one year to save his portion of the tuition, he will need to save:

$1,452 / 12 months = $121 per month

Therefore, Dominic will need to save a minimum of $121 per month to pay for his portion of the first year's tuition.

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Write an equation and solve to find the numbers and show work.
9. Doubling the difference between a number and 4 is 6 more than the number.
10. Five less than the opposite of a number is three times the sum of the number and -7.

Answers

9. Let's start by defining the variable.

Let's say the number we're trying to find is "x".

Now, let's translate the problem into an equation:

2(x - 4) = x + 6

We can simplify this equation by distributing the 2:

2x - 8 = x + 6

Next, let's isolate the variable on one side of the equation by subtracting x from both sides:

x - 8 = 6

Finally, we can solve for x by adding 8 to both sides:

x = 14

Therefore, the number we're looking for is 14.

10. Let's start by defining the variable.

Let's say the number we're trying to find is "x".

Now, let's translate the problem into an equation:

-(x) - 5 = 3(x + (-7))

We can simplify the right side of the equation by first simplifying the expression inside the parentheses:

-(x) - 5 = 3(x - 7)

Next, we can distribute the 3:

-(x) - 5 = 3x - 21

Let's isolate the variable on one side of the equation by adding x to both sides:

-(x) + x - 5 = 3x + x - 21

Simplifying the left side of the equation:

-5 = 4x - 21

Now, we can isolate the variable by adding 21 to both sides:

-5 + 21 = 4x

Simplifying the left side of the equation:

16 = 4x

Finally, we can solve for x by dividing both sides by 4:

x = 4

Therefore, the number we're looking for is 4.

What is the shape of the height and weight distribution? A. The height and weight distribution exhibit a negative and a positive skew, respectively. B. Both the height and weight distribution exhibit a positive skew. C. Both the height and weight distribution exhibit a negative skew. D. Both the height and weight distribution are symmetric about the mean. E. The height and weight distribution exhibit a positive and a negative skew, respectively

Answers

D. Both the height and weight distribution are symmetric about the mean.

What is the shape of the height and weight distribution? If a distribution is symmetric about the mean, it means that the values are evenly distributed on either side of the mean, resulting in a bell-shaped curve. The height and weight of individuals in a population tend to follow this type of distribution, with the majority of individuals clustering around the mean height and weight values. This is known as a normal distribution, which is a type of symmetric distribution. Therefore, option D is the correct answer. Options A, B, C, and E are not correct because they indicate skewness in the distribution, which is not typically observed in height and weight data.

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Jack's bill at a restaurant came to $51.31 he wants to leave a 15% tip how much will the new total be including tip

Answers

The new total bill including the tip of 15% is $59.01.

Calculating the new bill including the tip

To find the amount of the tip, we can multiply the total bill by the percentage as a decimal:

tip = 0.15 * $51.31 = $7.70

To find the new total including the tip, we can add the tip to the original bill:

new total = $51.31 + $7.70 = $59.01

So the new total, including a 15% tip, will be $59.01.

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NEED HELP FAST!!!! Please answer both questions

Answers

Therefore, the molarity of the sugar solution is 0.3704 M at 25°C. Therefore, the molality of the NaCl solution is 1.8994 mol/kg.

What is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of two sides separated by an equal sign (=). The expressions on either side of the equal sign may contain variables, constants, coefficients, and mathematical operations.

Here,

1. To calculate the molarity of a sugar solution, we need to first determine the number of moles of solute (glucose, C6H12O6) present in the solution. We can then divide this number of moles by the volume of the solution in liters to obtain the molarity. The number of moles of glucose in the solution can be calculated as follows:

Number of moles = mass of solute / molar mass of solute

Number of moles = 100.0 g / 180 g/mol

Number of moles = 0.5556 mol

Next, we can calculate the molarity of the solution using the following formula:

Molarity = number of moles / volume of solution (in L)

Molarity = 0.5556 mol / 1.50 L

Molarity = 0.3704 M

2. To calculate the molality of a solution, we need to know the number of moles of solute (NaCl) per kilogram of solvent (water).

First, let's calculate the number of moles of NaCl:

Number of moles = mass of NaCl / molar mass of NaCl

Number of moles = 200.0 g / 58.5 g/mol

Number of moles = 3.4188 mol

Next, we need to calculate the mass of the solvent (water) in kilograms:

Mass of solvent = 2.00 kg - 0.200 kg

Mass of solvent = 1.80 kg

Note that we subtracted the mass of the NaCl from the total mass of the solution to obtain the mass of the solvent.

Finally, we can calculate the molality of the solution using the following formula:

Molality = number of moles of solute / mass of solvent (in kg)

Molality = 3.4188 mol / 1.80 kg

Molality = 1.8994 mol/kg

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Andre is playing greatest product. he says the greatest product it’s possible to make in the game is 987x65 do you agree or disagree with andre

Answers

Andre's claim that the greatest product possible in the game is 987x65 is incorrect.

Why is Andre's claim incorrect?

While 987x65 is a large product, it is not the greatest possible product in the game. In fact, a larger product can be obtained by multiplying the two largest numbers available in the game. Without knowing the specific rules of the game, it is impossible to determine the exact greatest product, but it is certain that 987x65 is not it.

To elaborate, the game likely has certain constraints or rules that limit the numbers that can be multiplied. It may be possible to combine multiple numbers to create a larger product, or to find a different pair of numbers that yield a larger product. Therefore, without knowing the specifics of the game's rules, it is impossible to determine the greatest possible product.

The actual greatest product possible in the game will depend on the specific rules and constraints that are in place. It may be possible to combine multiple numbers to create an even larger product, or to find a different pair of numbers that yield a larger product. Without knowing the specifics of the game's rules, it is impossible to determine the greatest possible product.

In mathematics, the concept of maximum or greatest products is important and is studied in various areas such as algebra, number theory, and calculus. In real-world applications, maximum products play a critical role in determining profits, yields, and returns on investments in economics and finance. In engineering, the concept of maximum product is used in optimization problems, where the goal is to maximize or minimize a certain function or output.

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The ratio of an objects weight on earth to its weight on the moon is 6:1 the first person to walk on the moon was neil armstrong. he weighed 165 pounds on earth. what would be the proportion of this word problem?

Answers

The proportion of this word problem is 6 : 1 where Neil Armstrong weighed approximately 27.5 pounds on the moon.

The proportion of a word problem represents the relationship between two or more quantities. In this case, the proportion can be set up as:

Weight on Earth : Weight on Moon = 6 : 1

Using the information provided in the problem, we know that Neil Armstrong weighed 165 pounds on Earth. We can use this information to find his weight on the moon by setting up a proportion:

165 : x = 6 : 1

where x represents his weight on the moon. To solve for x, we can cross-multiply and simplify:

165 * 1 = 6 * x

x = 165/6

x ≈ 27.5

Therefore, Neil Armstrong weighed approximately 27.5 pounds on the moon.

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