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Lunna [17]
2 years ago
10

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and

an interest rate of 7. 5%, compounded monthly. How much more will Viola’s monthly payment be if the loan is unsubsidized than if the loan is subsidized? Round all dollar values to the nearest cent. A. $35. 05 b. $45. 94 c. $96. 96 d. $63. 52.
Mathematics
1 answer:
serious [3.7K]2 years ago
8 0

The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.

Put this values in the above formula as,

A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times4}\\A=11422.6348

For the four years, the monthly payment is,

m=\dfrac{11422.6348}{12\times4}\\m=237.97

The monthly payment of unsubsidized loan is $237.97.

The monthly payment of subsidized loan is $202.80.

The difference between the unsubsidized and subsidized loan monthly payment is,

d=237.97-202.80\\d=35.17\\d\approx 35.05

Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

Learn more about the compound interest here;

brainly.com/question/24274034

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(Congruent polygons)
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7 0
3 years ago
If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers
katrin2010 [14]

Answer:

9 pitchers

Step-by-step explanation:

Given

Cylinder 1:

Radius = r

Height = 9

Cylinder 2:

Radius = 3r

Height = 9

Required

How many pitchers' cylinder 2 can fill

First, we calculate the volume of both cylinders

Volume is calculated as:

Volume = \pi r^2h

For A:

V_A = \pi r^2*9

V_A = 9\pi r^2

For B:

V_B = \pi (3r)^2 * 9

V_B = \pi *9r^2 * 9

V_B = 9* 9\pi r^2

In (a): V_A = 9\pi r^2

So, we have ve:

V_B = 9*V_A

V_B = 9V_A

<em>If the first cylinder can fill 1, then the second can fill 9 pitchers</em>

7 0
3 years ago
here is the base of a prism if the height of the prism is 5cm what is it’s surface area? what is it’s volume
denpristay [2]
<h2>Volume Of Prism</h2>

Here is the base of a prism if the height of the prism is 5cm what is it’s surface area? what is it’s volume.

<h3>Solution:</h3>
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  • V = 5cm
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  • V = 25cm²

- So The Surface area of Prism is 25cm².

#ProblemSolve

3 0
2 years ago
Read 2 more answers
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