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.

Answers

Answer 1

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

What is compound interest?

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,

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

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,

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

For the four years, the monthly payment is,

[tex]m=\dfrac{11422.6348}{12\times4}\\m=237.97[/tex]

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,

[tex]d=237.97-202.80\\d=35.17\\d\approx 35.05[/tex]

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;

https://brainly.com/question/24274034


Related Questions

PLEASE HELP ASAP!!!!!!

Answers

Answer:

C.

We know that there are 100 total females and males.

So, the amounts of each type of math for both genders should add to get 100

A.

57 + 64 ≠ 100

B. 57 + 64 ≠ 100

C. 57 + 43 = 100

D. 57 + 64 ≠ 100

So, it has to be C

2
b.
b.
(n+ 6n - 4)(2n - 4)
---
Simplify each expression into its standard form

Answers

Answer:

14n^2-36n+16 is the answer

Brian was thinking of a number. Brian adds 8 to it, then doubles it and gets an answer of 16. 4. What was the original number?

Answers

Answer:

the original number is 0.2

Step-by-step explanation:

2(x+8)=16.4

2x+16=16.4

2x=16.4-16

2x=0.4

x=0.2

Malia has
1/8 liter of juice. She distributes it equally to 3 students in her tutoring group. What fraction of the juice does each student get?

Answers

Answer: 1/24 L

Step-by-step explanation:

[tex]$\frac{1}{8} L \div 3= \frac{1}{8} \div \frac{3}{1}= \frac{1}{8} \times \frac{1}{3}=\frac{1}{24} \quad$ \\\\\begin{aligned}\therefore \text { Each student will get } &\frac{1}{24} L \text { of juice. }\end{aligned}[/tex]

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

  [tex]\frac{1}{8}\div \:3[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}[/tex]

[tex]=\frac{1}{8}\div \frac{3}{1}[/tex]

[tex]=\frac{1}{8}\times \frac{1}{3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{1\times \:1}{8\times \:3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1[/tex]

[tex]=\frac{1}{8\times \:3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:8\times \:3=24[/tex]

[tex]=\frac{1}{24}[/tex]

Thus, 1/24 on fraction of juice each student get.

[RevyBreeze]

express 24% as a fraction in its lowest form

Answers

Answer:

I'm going to take a hunch and say it's 6/25

It's just a hunch but that's my answer

Step-by-step explanation:

Emma has 200 pages of her book left to read. In 4 minutes, she reads 6 pages.
At this rate, can she finish her book in 2 hours?

Answers

Answer:

She would finish her book in 2 hours and 16 minutes

Step-by-step explanation:

6 x 34 = 204

4 x 34 = 136

136 = 2 Hours and 16 minutes

Yes, she can finish her book in 2 hours if she reads at the same rate of 6 pages every 4 minutes.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

First, we need to convert 2 hours to minutes:

So,

= 2 hours × 60 minutes/hour

= 120 minutes

Now,

6 pages/4 minutes

= 1.5 pages/minute

So in 120 minutes, she can read:

= 1.5 pages/minute × 120 minutes

= 180 pages

Thus,

Since Emma has only 200 pages left to read, she can finish her book in 2 hours if she reads at the same rate of 6 pages every 4 minutes.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

Which of these could be the area of circle b? Explain your reasoning

Answers

Answer:

c about 900 in²

ím not sure

There are many cylinders with radius 6 meters. Let h represent the height in meters and V represent the volume in cubic meters. Which equation represents the volume V as a function of the height h?

Answers

The equation that represents the volume of the cylinder is 36πhhh m³.

Explanation:

Formula: volume of a cylinder = πr²h

pi =  π = 22/7

r = radius

6² πhhh

36πhhh m³

Who holds the world record for memorizing the most digits of pi.

Answers

Answer:

Akira Haraguchi.

Step-by-step explanation:

Akira Haraguchi, who in 2006 recited 100,000 digits of pi from memory at a public event near Tokyo.

Chioe stops for lunch in a town that
has no meal tax. She has $20 and tips
15%. Select all the prices of meals she
could buy.


(A) $18.50
(B) $16.25
(C) $15.75
(D) $17.45
(E) $15.95

Answers

C $15.75 E $15.95 And B $16.25 those there the answers

A fish is 5 feet below the surface of a lake. If its position can be recorded as −5 feet, what would the position of 0 represent? (4 points) a the distance above the surface of the lake b the distance below the surface of the lake c the surface of the lake d the height of the fish

Answers

The answer would be the surface

What is the last step you should take when solving word problems? A.You should find a common denominator for your fractions. B.You should simplify your fractions with the GCF. C.You should clearly state your final answer. D.You should multiply the numerators and denominators. please help!?

Answers

Answer:

you should clearly state your final answer

Step-by-step explanation:

Answer:

You should find a common denominator for your fractions.

Step-by-step explanation:

easy hope this helps

The Area of Parallelogram is 32 cm² , its Base is 8 cm. Then find its Height .​

Answers

Question :-

The Area of Parallelogram is 32 cm², its Base is 8 cm . Then find its Height .

Answer :-

Height of Parallelogram is 4 cm .

[tex] \rule {210pt} {2pt} [/tex]

Given :-

Area of Parallelogram = 32 cm²Base of Parallelogram = 8 cm

To Find :-

Height of Parallelogram = ?

Solution :-

As per the provided information in the given question, we have been given that the Area of Parallelogram is 32 cm² . Base of Parallelogram is given 8 cm . And, we have been asked to calculate the Height of Parallelogram .

For calculating the Height , we will use the Formula :-

[tex] \bigstar \: \: \boxed{ \sf{ \: Area \: _{Parallelogram} \: = \: Base \: \times \: Height \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \longmapsto \: \: \sf{ Area \: _{Parallelogram} \: = \: Base \: \times \: Height} \\ [/tex]

[tex] \longmapsto \: \: \sf{ 32 \: = \: 8 \: \times \: Height} \\ [/tex]

[tex] \longmapsto \: \: \sf{ \dfrac{32}{8} \: = \: Height } \\ [/tex]

[tex] \longmapsto \: \: \sf{ \dfrac{4}{1} \: = \: Height } \\ [/tex]

[tex] \longmapsto \: \: \textbf {\textsf {Height = 4 cm}} [/tex]

Hence :-

Height of Parallelogram = 4 cm .

[tex] \underline {\rule {210pt} {4pt}} [/tex]

Additional Information :-

[tex] \begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \end{gathered} [/tex]

Area of a parallelogram is base times it's height, here so if we assume the height to be H, then:

→ H × 8 = 32

→ H = (32/8)

→ H = 4 cm

6) Slope = -2, y-intercept = -3
A) 2x + y = -3 B) 2x - y = 3
C) 3x + y = 3 D) x + 2y = 43

Answers

Answer:

A)

Step-by-step explanation:

If there are 108 people in a room and I need to put 9 each group how many group are there. 18 points

Answers

Answer:

12 groups

Step-by-step explanation:

brainliest pls

Answer:

12 because 180÷9=12 so it will be the are 12 groups or however it says ...

Which statement describes the solution(s) to the system of equations 2 x − 3 y = − 10 and − 6 x + 9 y = − 10 ?

Answers

X = 3/2 or 1 1/2

Both of the equations equal -10, therefor the equations are equal.

6. If George’s mom needs 3 kilograms of sliced cheese for a family party, how many
packages will she need to buy?
help meeeeeeeeeeeeee∅

Answers

Answer:

6 package

Step-by-step explanation:

Given:

Amount of cheese needs = 3 KG = 3,000 gram

Assume;

1 package of cheese = 500 gram

Find:

Number of package need

Computation:

Number of package need = Amount of cheese needs / 1 package of cheese

Number of package need = 3,000 / 500

Number of package need = 6 package

Find the simplified product:
9x* *3x8
4
0 2/126²²
o 327x2
12
3x4
оо
9x
DONE

Answers

Answer:

[tex]3 {x}^{4} [/tex]

Step-by-step explanation:

[tex]\huge \sqrt[3]{9 {x}^{4} } . \sqrt[3]{3 {x}^{8} } \\ \\ \huge = \sqrt[3]{9 {x}^{4} \times 3 {x}^{8} } \\ \\\huge = \sqrt[3]{27 {x}^{12} } \\ \\ \huge\orange{= 3 {x}^{4} }[/tex]

a bag contain 150 marbles. some are blue, and the rest are white. there are 21 blue marbles for every 4 white marbles.How many blue marbles are in the bag? Explain your resoning.

Answers

Answer:

787.5

Step-by-step explanation:

150x21÷4 sana makatolong

Plss i don’t know how to find the answer help if you can

Answers

Solution in the picture

Answer:

[tex] \times = 1.8[/tex]

What happens to the standard error of m as sample size increases?.

Answers

Answer:

  SEM decreases by a factor of √N

Step-by-step explanation:

The standard error of the mean (SEM) is inversely proportional to the square root of the sample size. As the sample size (N) increases, the SEM is decreased by a factor of √N.

The SEM is the population standard deviation divided by √N for a normal distribution.

What is the surface area?

6 cm
6 cm
6 cm

square centimeters

Answers

Answer:

216CM SQUARE :).......

The population of a town, y, is 15,000 people and is growing by 1.5% per year.
linear or exponential?
I believe it’s exponential and could someone help me write the equation?

Answers

Answer:

Exponential should be correct I should think.^

how has the pandemic financial impacted households?​

Answers

Answer:

people are now earning less money than they did before the pandemic

Step-by-step explanation:

lord have mercy.

prices are going up because people need more pay,

many people are loosing their workers due to quarentined or loved one is quarentied,  not enough pay,

many houses are impacted because of people buying more stuff because again, prices are going up

many are impacted by the death of loved ones (funerals are expensive holy cow)

SONGS
CUT
Match each question you might ask yourself on the left with how you might respond on the right
Why don't like spinach?
I left my coat in the car
Why am I so cold?
It tastes bitter to me
DOO
Why was I late for school?
I forgot to set my alarm

Answers

Answer:

Step-by-step explanation:

why dont you like spinach?     it tastes bitter to me

why am is so cold?       i left my coat in the car

Why was i late for school?      i forgot to set my alarm

What factor could you pull out of 10x AND 5?

2


x


10


5
WILL GIVE BRAINLY

Answers

Hi! I hope you're enjoying your day!

The common factor of 10x and 5 is

5.

What is a factor?

It's a number that a number is evenly divisible by.

Example: 2 is a factor of 10, because 10 is evenly divisible by 2.

Also, it may be tempting to say, "Well, 2 is the common factor!"

And that's not true in this case, because 5 isn't divisible by 2.

x is also not a common factor; 5 is a constant, it doesn't have any variables next to it.

Hence, the factor is

[tex]\boxed{\boxed{\bold{5}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

I need this class to graduate

Answers

Answer:

math

Step-by-step explanation:

because it is one of your main classes

What is the volume of a beach ball with a radius of 13 centimeters?

Answers

Answer:

It is 9202.77
(rounded off)

Step-by-step explanation:

Volume=4/3*π*radius^3
The beach ball described is 4/3*π*13^3

Answer:

4/3 πr^13

4/3 π 13^3

4/3 π 2197 = 9202.77

A rectangle is 18 inches long and 12 inches wide.

What is the perimeter of this rectangle?

Answers

Perimeter = 2 x length + 2 x width


perimeter = 2x18 + 2x12 = 36 + 24 = 60 inches


Answer: 60 inches

The equation of a line is given below.
2x+y=-3
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

Answer:

Slope = -4.000/2.000 = -2.000

y-intercept = -3/1 = -3.00000

Step-by-step explanation:

^

Answer:

-2 is slope and -3 in y-intercept

Step-by-step explanation:

Starting with 2x + y = -3

Subtract 2x from both sides to get y alone:

y = -2x -3

This is now in slope-intercept form, which is y=mx+b, where m=slope and b=y-intercept.

-2 is in the m spot, so it is the slope

-3 is in the b spot, so it is the y-intercept

See image for graph

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