Find m/_I. I need help on solving this problem please?

Find M/_I. I Need Help On Solving This Problem Please?

Answers

Answer 1

Answer:

∠ I = 60°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan I = [tex]\frac{opposite}{adjacent }[/tex] = [tex]\frac{HJ}{IJ}[/tex] = [tex]\frac{3\sqrt{30} }{3\sqrt{10} }[/tex] = [tex]\frac{\sqrt{30} }{\sqrt{10} }[/tex] = [tex]\sqrt{\frac{30}{10} }[/tex] = [tex]\sqrt{3}[/tex] , then

∠ I = [tex]tan^{-1}[/tex] ([tex]\sqrt{3}[/tex] ) = 60°

Answer 2

Answer:

  60°

Step-by-step explanation:

You want the measure of angle I in right triangle HIJ, given that the side opposite is 3√30 and the side adjacent is 3√10.

Tangent

The tangent relation is ...

  Tan = Opposite/Adjacent

In this triangle, ...

  tan(I) = (3√30)/(3√10) = √(30/10) = √3

Then the angle is ...

  I = arctan(√3) = 60°

The measure of angle I is 60°.

__

Additional comment

The trig functions of 30° and 45° and their relationships to each other are based on the side relationships of the two "special" right triangles:

  30°-60°-90° triangle has side ratios 1 : √3 : 2

  45°-45°-90° triangle has side ratios 1 : 1 : √2

Of course, side lengths are in the same order as their opposite angles.

The mnemonic SOH CAH TOA can help you remember the necessary relationships:

Sin = Opposite/HypotenuseCos = Adjacent/HypotenuseTan = Opposite/Adjacent
Find M/_I. I Need Help On Solving This Problem Please?

Related Questions

Fixed expenses are defined as those that do not very with changed in volume. Examples include:
A( direct staffing costs
B( lease costs and taxes
C( utilities and supplies utilized in production of service or product
D( utilities, rent, lease, depreciation

Answers

Answer:

B (lease costs and taxes) and D (utilities, rent, lease, depreciation) are examples of fixed expenses as they typically do not vary with changes in volume.

Direct staffing costs (A) and utilities and supplies utilized in the production of service or product (C) are generally considered variable expenses as they tend to vary based on the volume of production or sales. For example, if a business produces more goods or provides more services, it will typically need to hire more staff and use more supplies, leading to an increase in expenses.

Step-by-step explanation:

Which of the following values are solutions to the inequality -8- 4x > 1?
4
I. - 10 II. - 1
O None
O II only
O I and II
O II and III
O I only
O III only
○ I and III
O I, II and III
III. 6
Submit Answer

Answers

Answer:

the answer is:l only

because -10 only states the true statement while -1 and 6 gave False Staments...

Solids A and B are similar. Use the given information and scale factor k from solid A to solid B to find the surface area of solid B.

Prism A has a surface area of 805 square feet and the and k=1/5

Answers

Answer:

32.2 ft²

---------------------

We know that area is the product of two dimensions.

Hence we consider the square of the scale factor when comparing areas of similar figures.

The surface area of solid B is k² times the surface area of solid A:

S(B) = k²S(A)

Substitute and calculate:

S(B) = (1/5)²(805) = 805/25 = 32.2 ft²

(7x^9)^2*3x^11

^ is the exponent sign

Answers

The answer in exponent form is 147x^29.

What is a scientific notation?

A scientific notation is a method of expressing very large numbers in the form of exponent.

In the given question, we have;

(7x^9)^2*3x^11

applying the law of indices,

(7x^9)^2*3x^11 = (7^2)*x^(9*2)*3x^11

                        = 49x^18*3x^11

                        = (49*3)*x^(18+11)

                        = 147x^29

Thus, the expression can be simplified as: 147x^29.

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what is the probability that either event will occur

Answers

The probability that either event will occur is 7/25

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100% in percentage.

Probability = sample space /Total outcome

P(A or B) = P(A) +P(B) -P(A and B)

The total element = 25+5+15+5 = 50

therefore total outcome = 50

P(A) = 25/50

P(B) = 15/50

P(A and B) = 5/40

Therefore P(A and B) = 25/50+15/50 - 5/50

= 35/50 = 7/25

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which of the following sample spaces would satisfy the definition of a continuous random variable?
x={odd integers between 5 and 15}
×=[0,500]
x=[0,1,2,3]
x=[the number of days in the week that have the letter "r"] ​

Answers

Answer:The sample space that satisfies the definition of a continuous random variable is: ×=[0,500]

Step-by-step explanation:

The sample space that satisfies the definition of a continuous random variable is: ×=[0,500]

A continuous random variable is a variable that can take on any value within a certain range of values, typically a continuous interval. This means that there are an infinite number of possible values that the variable can take on, and the probability of any particular value is zero.

In contrast, the other sample spaces listed are all discrete random variables, meaning that they can only take on a finite or countable number of values. For example, the first sample space x={odd integers between 5 and 15} can only take on 6 possible values (5, 7, 9, 11, 13, or 15), and the third sample space x=[0,1,2,3] can only take on 4 possible values.

The fourth sample space x=[the number of days in the week that have the letter "r"] is also a discrete random variable, as it can only take on values of 0, 1, 2, or 3 (depending on how many days of the week have the letter "r").

Therefore, the only sample space that satisfies the definition of a continuous random variable is ×=[0,500].

SOMEONE, PLEASE HELP!

Answers

1&2=no proportional
3=proportional

Find F(7)…………………………………………

Answers

Based on the given function conditions of f(x) , the value of f(7) is equal to -6

To find f(7), we need to determine which function definition to use based on the value of x.

Since x = 7 is greater than 5, we know that we'll be using the third definition of the function: f(x) = -x + 1 for 2 < x ≤ 5.

Therefore, we can substitute x = 7 into the third definition of the function:

f(7) = -7 + 1 = -6

So, f(7) = -6.

In summary, to find f(7), we identified which function definition to use based on the value of x. Since x = 7 is greater than 5, we used the third definition of the function, f(x) = -x + 1 for 2 < x ≤ 5, and found that f(7) = -6.

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help pls im in a rush

Answers

The reason for the statements of the proof to show that ∠A ≅ ∠C are:

ABCD is a parallelogram: (Given)Draw BD: (Construction)AB || DC, AD || BC: Given∠1 ≅∠4, ∠2 ≅ ∠3: (Opposite angles of a parallelogram are congruent)DB ≅ DB: (Reflexive Property)ΔABD ≅ ΔCDB: (ASA congruence theorem)∠A ≅ ∠C: Corresponding parts of congruent triangles are congruent.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram.

In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The ASA congruence theorem states that two triangles are congruent if two angles and the side separating two angles of one triangle are congruent with the corresponding angles and side of another triangle.

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Laquita has $3,500 a month in cash inflows and $3,240 a month in forecasted cash
outflows. How much can she contribute annually to her liquidity fund?

Answers

Answer: $3120

Step-by-step explanation:

3500-3240

=260

260*12=3120

3.4 The rectangular box has the length of 8x² and the breadth of 6x² - 4x 3.4.1 What is the area of the box? 3.4.2 Factorise the area of the box? 3.4.3 If x = 2 what will be the value of the length and the breadth?​

Answers

Answer:

3.4.1) (8x^2)(6x^2 - 4x) = 48x^4 - 32x^2

3.4.2) 48x^4 - 32x^2 = (16x^2)(3x^2 - 2)

3.4.3) Length = 16(2^2) = 16(4) = 64

Width = 3(2^2) - 2 = 3(4) - 2

= 12 - 2 = 10

Area = 64(10) = 640

Suppose that the function g is defined, for all real numbers, as follows. Find g(-5) ,g (-2), and g(-1)

Answers

If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.

A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :

g(x) = {-(1/2)x + 1,    for x<-2

       = {-(x+1)²,        for -2≤x≤1

      =  {4                 for x>1

We have to find the value of g(-5) ,g (-2), and g(-1),

For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,

⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,

For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function

"-(x+1)²" will be used,

⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,

For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,

⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,

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Solve by using a system of equations.

A goldsmith has two gold alloys. The first alloy is 30% gold; the second alloy is 80% gold. How many grams of each should be mixed to produce 40 grams of an alloy that is 60% gold?

Answers

The amount of grams of each alloy that should be mixed to produce 40 grams of an alloy that is 60% gold are 16 grams and 24 grams respectively.

How to write a system of equations to model this situation?

In order to write a system of linear equations to describe this situation, we would assign variables to the quantity of first alloy (30% gold) and the quantity of second alloy (80% gold) respectively, and then translate the word problem into a linear equation as follows:

Let the variable y represent the quantity of first alloy (30% gold).Let the variable x represent the quantity of second alloy (80% gold).

Therefore, a system of linear equations to describe this situation can be written as follows;

x + y = 40      .....equation 1.

0.3x + 0.8y = 0.6(40)      .....equation 2.

From equation 2, we have the following:

0.3x + 0.8y = 24

0.3x + 0.8(x - 40) = 24

0.3x + 32 - 0.8x = 24

-0.5x = -8

x = -8/-0.5

x = 16 grams.

y = 40 - x

y = 40 - 16

y = 24 grams.

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Someone help i really need help with this

Answers

The percentage increase in the number of water bottles from February to April is 19%.

How to find the percentage increase?

A company manufactures water bottles. The list describes the amount of water bottles manufactured in three months.

Therefore,

February: 4100 water bottles

March: 7% more water bottles than in February

April: 500 more water bottles than in march

Therefore,

Number of water bottles in march = 4100 + 7% of 4100

Number of water bottles in march =4100 + 7 / 100 × 4100

Number of water bottles in march = 4100 + 287

Number of water bottles in march =  4387

Hence,

Number of water bottles manufactured in April = 4387 + 500 = 4887

Therefore,

percentage increase from February to April = 4887 - 4100 / 4100 × 100

percentage increase from February to April = 787 / 4100 × 100

percentage increase from February to April = 78700 / 4100

percentage increase from February to April = 19.1951219512

percentage increase from February to April = 19%

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IF THERE ARE 12 RUNNERS IN A RACE, AND 3 RUNNERS ARE RANDOMLY CHOSEN OUT OF THE 12 FOR DRUG TESTING, HOW MANY DIFFERENT WAYS CAN THESE 3 BE CHOSEN?

Answers

They can be picked out by performance.
Is it multiple choice?

we need combination formula:

[tex] \frac{nı}{(n - r)ı \times rı} [/tex]

"I means !"

so the answer is:

12!/9! × 3! = 440

help please i need help with this answer

Answers

The initial value (a) of the exponential function f(x) = 4ˣ is 1.

How to solve an exponential equation?

The standard form of an exponential equation is:

y = abˣ

where a is the initial value and b is the multiplication factor.

If b > 1, it is a growth function and if b < 1, it is a decay function.

Given the exponential function:

f(x) = 4ˣ

The initial value (a) = 1 and the multiplication factor (b) = 4.

The graph of the exponential function f(x) = 4ˣ is attached below.

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Please Help With Question Inside of the picture

Answers

The workers percentile score is given as follows:

69.15%.

How to obtain probabilities using the normal distribution?

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.

The z-score for this problem is given as follows:

z = 0.5.

Hence the percentile score is of 69.15%, as z = 0.5 has a p-value of 0.6915.

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A movie theater considers upgrading to offer luxury seating. The manager randomly surveys 1,200 resident who live within 10 miles of the theater. What is the sample in the situation

Please it’s due in 2min

Answers

In this circumstance, the sample consists of 1,200 inhabitants living within a ten-mile radius of the movie theater that were selected for random deliberation by the overseer.

What is a sample?

Samples are frequently utilized to gain information concerning a larger population through the study of a single set of individuals or objects. The aim of selecting a sample is to inspect the populace by delving into a representative, relatively small group.

Surveys, polls, and experiments often utilize samples to make evidence-based inferences regarding the target population. For exact and dependable results, an instance should be randomly chosen, accurately mirroring those present in the whole population so as to reduce prejudice and fully optimize the evaluation.

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8) If Bonnie can waterproof 450 square foot of decking with 2 gallons of sealant, she will need 6 gallons (10pts)
of sealant for 1200 square foot of decking.
True
O False

Answers

Answer:

FALSSOO

Step-by-step explanation:

lol srry I pretty sure its false I did teh math

Hope its right and it helps! c:

‼️‼️WILL MARK BRAINLIEST IF HELPFUL‼️‼️

Answers

Answer:

Step-by-step explanation:

(a)  Given:   r=4  h=3

Formula for cylinder:  V=Bh = [tex]\pi r^{2} h[/tex]  

Solution:

V= [tex]\pi r^{2} h[/tex]

V= [tex]\pi[/tex]4²(3)            >square

V= [tex]\pi[/tex] (16)(3)         >multiply numbers

V=48[tex]\pi[/tex]                >leave as pi

(b)  Given: 4  h=6

This volume will be greater because you are multiplying by 6 instead of 4

V=96[tex]\pi[/tex]

The prism below is made of cubes which measure
1
4
of an inch on one side. What is the volume?

A 3D illustration view of a blank tabular with 5 rows and 2 columns.
Note: Figure is not drawn to scale.
A.

15
32
cubic in


B.

5
2
cubic in


C.

30
cubic in


D.

15
2
cubic in

Answers

The volume of the prism is B. 2.5 cubic inches.

How to calculate the volume

According to the question, the prism measures 1/4 of an inch on one side. Now we will assign values to the length, width, and height of this prism as follows:

Length = 2 × 1/4

Width = 5 × 1/4

Height = 3 × 1/4

= 2/4 + 5/4 + 3/4

=  2 2/4

= 2.5 cubic inches.

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hi I need help on questions 10-17 on this paper. if you are a expert (know what to do) of vertical angles and angle relationships in a triangle then please help me. 

Answers

Answer:

10) 73

11) 107

12) 107

13) x = 23

14) 135

15) 45

16) 123, 28 29

17) 180 - 72 - 28 = 80

Angle K is 80

Step-by-step explanation:

10:

Vertical angels are congruent.  The same measurement.

11:

Supplements angles add to 180

180 - 73 = 107

12:

Same as 11

13:

135

Vertical angles are congruent

5x + 20 = 3x + 66  Subtract 3x from both sides

2x + 20 = 66 Subtract 20 from both sides

2x = 46  Divide both sides by 2

x = 23

14:

5x + 20  Substitute 23 for x

5(23) + 20

115 + 20

135

15:

This angle is supplemental to ABC

180 - 135 = 45

16:

The sum of the interior angles of a triangle is 180

123 + x-2 + x -3 = 180 Combine like terms

118 +2x = 180  Subtract 118 from both sides

2x = 62  Divide both sides by 2

x = 31

x- 2

31 - 2 = 29

x - 3

31 - 3 = 28

Three angles 123, 29, 28

17:

The sum of the interior angles is 180

180 - 72 - 28 = 80

Helping in the name of Jesus.

Find a polynomial f(x) of degree 5 that has the following zeros.
0, 1 (multiplicity 2), -6, -3
Leave your answer in factored form.

Answers

This polynomial has zeros at 0, 1 (with multiplicity 2), -6, and -3, as required, and is of degree 5.

How to solve

A polynomial f(x) of degree 5 with the given zeros can be represented in factored form as:

f(x) = [tex]A(x - 0)(x - 1)^2(x + 6)(x + 3)[/tex]

Since the leading coefficient is not specified, we can leave A as a constant factor. Simplifying the expression, we have:

f(x) = [tex]A(x)(x - 1)^2(x + 6)(x + 3)[/tex]

This polynomial has zeros at 0, 1 (with multiplicity 2), -6, and -3, as required, and is of degree 5.

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help please The sum of two even numbers is even. The sum of 6 and another number is even. What conjecture can you make about the other number?

A) The other number is odd.
B) The number is even.
C) Not enough information.
D) The number is 8.

Answers

The conjecture that can be made about the other number is option A: the other number is odd.

Let's assume that the two even numbers are x and y. Then, we can write their sum as x + y = 2a, where a is some even number.

Now, let's consider the sum of 6 and another number, which we can represent as 6 + z, where z is some unknown number. If this sum is even, then we can write it as 2b, where b is some even number.

So, we have the equations:

x + y = 2a (since the sum of two even numbers is even)

6 + z = 2b (since the sum of 6 and another number is even)

We can subtract 6 from both sides of the second equation to get:

z = 2b - 6

Now, we can substitute this expression for z into the first equation:

x + y = 2a

And we get:

x + y + z - 2z = 2a

x + (y + z) - 2z = 2a

x + (2b - 6) - 2z = 2a

x + 2b - 2z - 6 = 2a

This equation tells us that x + 2b - 2z - 6 is an even number (since 2a is even). Since x and 2b are even, the expression -2z - 6 must also be even. Therefore, -2z must be even. This means that z is odd (since an even number minus an even number is even, and -6 is even).

So, we can conclude that the other number (z) is odd. Option A is the correct answer.

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Create a bar graph from the results of the following survey question: "On average, how much time do you spend using your cell phone each week?"

Answers

The bar graph from the results of the following survey question titled "Hours spent using your cell phone each week" is found in the attachment.

What is a bar graph?

A bar chart, also called a bar graph, is a visual representation of categorical data that uses rectangular bars with heights or lengths that correspond to the measure of the values they represent.

The bars in a bar chart can be plotted either vertically or horizontally.

Vertical bars, horizontal bars, grouped bars, or stacked bars can all be used to make bar graphs.

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The mayor of a town has proposed a plan for the construction of a new bridge. A political study took a sample of 800 voters in the town and found that 53% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 49%. Find the value of the test statistic. Round your answer to two decimal places.

Answers

the value of the test statistic is approximately 5.19.we can get the answer by using formula .

what is statistic  ?

A statistic is a numerical value or measure that is calculated from a sample of data, and is used to describe or make inferences about a population. Statistics are used in various fields, including business, economics, social sciences, and natural sciences, to analyze data

In the given question,

To test the claim that the percentage of residents who favor construction is more than 49%, we can use a one-sample z-test. The test statistic can be calculated as:

z = (p - P) / √(P * (1 - P) / n)

where:

p = the sample proportion (0.53)

P = the hypothesized population proportion under the null hypothesis (0.49)

n = the sample size (800)

Substituting the given values into the formula, we get:

z = (0.53 - 0.49) / √(0.49 * 0.51 / 800) ≈ 5.19

Rounding the test statistic to two decimal places, we get:

z ≈ 5.19

Therefore, the value of the test statistic is approximately 5.19.

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Which expression is equivalent to 5/4x +33-2+2

Answers

The expression that is equivalent to 5/4x +33-2+2 is 5x + 132/4. Option C

How to determine the value

It is important to note that algebraic expressions are defined as expressions that consists of factors, variables, constants, coefficients and terms.

These expressions are also made up of arithmetic operations.

These operations are listed as;

AdditionBracketParenthesesMultiplicationDivisionSubtraction

From the information given, we have that;

5/4x +33-2+2

Add or subtract the values

5/4x + 33

Find the LCM, we have;

5x + 132/4

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Complete question:

Which expression is equivalent to 5/4x +33-2+2

5x + 132

6x + 132/4

5x + 132/4

6x + 132

In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class has a brother?

Answers

The probability that a student chosen randomly from the class has a brother is 57%.

Given is a data table summarizes how many students have a brother or a sister.

We need to find the probability that a student chosen randomly from the class has a brother,

So, we know, probability = favorable outcome / total outcome

Here, favorable outcome = having a brother = 12 + 4 = 16

Total outcomes = all the students = 12+4+10+2 = 28

So,

P(having a brother) = 16/28 = 0.57 = 57%

Hence the probability that a student chosen randomly from the class has a brother is 57%.

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Please help me i dont get this. PLEASE I GIVE 20 points. And I give BRAINLIEST

Answers

Answer:

A B

Step-by-step explanation:

Is between A or B

Answer:  A yes

Step-by-step explanation:

The answer is A because they divided both sides by 5

Not by variable and they didn't add/sub  

This equations are  equivalent

Apply the United States rule to determine the balance at maturity and the total interest paid if the borrower makes two partial payments and the remainder of the loan is paid at maturity.
Principal $1450
Interest Rate​ % 15.0
Loan Length​ (Days) 280
Partial Payment
$5800.00
$4350.00
Payment on Day​ #
112
196

Answers

Answer: The United States rule is a method for calculating interest and balances on loans that have partial payments during their term. The rule assumes that each partial payment is applied to the interest first, then to the principal. Here's how to use the United States rule to calculate the balance and interest for this loan:

Calculate the daily interest rate by dividing the annual interest rate by 360 (the number of days in a standard year for most loans).

Daily Interest Rate = 15.0% / 360 = 0.04167%

Calculate the interest due for the first partial payment of $5800 made on day 112. Since this payment is larger than the remaining principal, it will pay off the loan entirely and no interest will accrue beyond this date.

Days between start of loan and first payment = 112 daysInterest due on first payment = (1450 x 0.04167% x 112) = $8.10Principal remaining after first payment = $0.00

Calculate the interest due for the second partial payment of $4350 made on day 196.

Days between first payment and second payment = 84 daysInterest due on second payment = (0 x 0.04167% x 84) = $0.00Principal remaining after second payment = $0.00

Calculate the interest due on the remaining principal at maturity (day 280).

Days between second payment and maturity = 84 daysInterest due at maturity = (0 x 0.04167% x 84) = $0.00

Add up the interest due from each period to get the total interest paid over the life of the loan.

Total interest paid = $8.10 + $0.00 + $0.00 = $8.10

Add up the principal amounts from each payment to get the total amount paid.

Total amount paid = $5800.00 + $4350.00 = $10,150.00

Subtract the total amount paid from the original principal to get the balance at maturity.

Balance at maturity = $1450.00 - $10,150.00 = -$8700.00 (which means the lender owes the borrower this amount)

Therefore, the balance at maturity is -$8700.00 (meaning the lender owes the borrower this amount) and the total interest paid over the life of the loan is $8.10.

Other Questions
, Which substance abuse involves injection of the drug to produce intense excitement, energy, boldness, and paranoia similar to that produced by cocaine In urgent need of assistance pls and thanks Part AAlex has \$ 30,000$30,000 in his savings account that earns 10\%10% annually. How much interest will he earn in one year? Interest == \$$ Part BIf Alex spends 20\%20% of the interest received on buying furniture for his new house, what amount did he spent on furniture? C (g) + e (g) 2 w (g)initially, there are 3.5 moles of w placed in a 2.5 l evacuated container. equilibrium is allowed to establish and the value of k = 2.34 e-5 for the reaction under current conditions. determine the concentration of e at equilibrium. a. [e] = 8.352 e -6b. [e] = 0.00578c. [e] = 0.00289d. cannot solve using 5% approximation rule Just the answer is fine:)Let S be the surface in R3 that lies on C = {(x, y, z) ER3 | 22 = 100(x2 + y)} - and between the planes given by z= 1 and 2 = 5. Then the area of Sis = A(S) Check Thomas Paine wrote in common sense that the king was The accounting records of Shinault Inc. Show the following data for 2020 (its fi rst year of operations). 1. Life insurance expense on offi cers was $9,000. 2. Equipment was acquired in early January for $300,000. Straight-line depreciation over a 5-year life is used, with no salvage value. For tax purposes, Shinault used a 30% rate to calculate depreciation Use the Generalized Power Rule to find the derivative of the function.f(x) = (3x + 1)^5(3x - 1)^6 The triangle above has the following measures.q=8 inm/Q = 37Find the length of sider.Round to the nearest tenth and include correct units. ( , , ) : -, , (.). A cylinder of Krypton has contains 17 L of Ar at 22. 8 atm and 112 degrees celsisus. How many moles are in the cylinder? The following outline is a section from a skeleton outline. Use the guidelines from the lesson to put this information in a keyword outline. NOTE: The program will not display this outline with the proper capital A and B. However, it will accept your answer with capital A and B.II. Many teenagers do not volunteer because they don't know how to get involved.There are many resources that can help you find a service that's right for you.The Internet is a great way to search for community service opportunities.Your local community center or public library can be a good resource.Ask teachers or parents how you can get involved.Get involved with friends. It is often easier to try something new if there is a familiar face nearby. When you volunteer in groups, you are also able to accomplish more. Consider the line 6x-7y = 4. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line? A recent report states that 55% of U. S. Adults use Netflix to stream shows and movies. An advertising company believes the proportion of California residents who use Netflix is greater than the national proportion, because Netflix headquarters is located in Los Gatos, California. The company selects a random sample of 600 adults from California and finds that 360 of them use Netflix. Is there convincing evidence at the level that more than 55% of California residents use Netflix? How many kJ of heat would be released when 250g of water freezes? A. 565 kJB. -83.5 kJC. 83.5 kJD. -565 kJ Mr. Smiths algebra class is inquiring about slopes of lines. The class was asked to graph the total cost, c, of buying h hotdog that cost 75 cent each. The class was asked to describe the slope between any two points on the graph. Which statement below is always a correct answer about the slope between any two points on this graph?1)the same positive value 2)the same negative value3) zero4) a positive value, but the values vary What is most likely the authors intent in including the following description from Chapter 1?The camera crews, perched like buzzards on rooftops, only add to the effect. Answer choices for the above questionA. To show just how high up the cameras are positionedB. To show how ominous and invaded the square feels on the day of the reapingC. To establish the feeling of excitement in the air as the reaping is about to beginD. To plant the seed of what a superstar Katniss or Prim could become if they are chosen Step 1: The subject of your sentence and the information you want to give to your reader:(Subject).(Information).Step 2: List by number the pieces of information you have written forstep 1.1. 2. 3. 4. 5. Reorder this list so you can give your reader this information in the most interesting or understandable way.1. 2. 3. 4. 5. The resource that may limit consumerism the most during the next day century