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yan [13]
2 years ago
11

Briana received a 10-year subsidized student loan of $26,000 at an annual interest rate of 4.125%. Determine her monthly payment

(in dollars) on the loan after she graduates in 2 years. (Round your answer to the nearest cent.)
Mathematics
1 answer:
Ivanshal [37]2 years ago
5 0

Answer:

  $264.78

Step-by-step explanation:

The government pays the interest on Briana's loan while she is in school. Her monthly payments will be for a loan of $26,000. The amount of the payment can be found from the amortization formula, or using a calculator or spreadsheet.

<h3>Payment amount</h3>

For a loan of principal amount P at annual rate r for t years, the monthly payment is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t)) = $26000(0.04125/12)/(1 -(1 +0.04125/12)^(-120)) = $264.78

Briana's monthly payment after she graduates is $264.78.

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An individual saves $5000 in a bank account at the beginning of each year for 10 years.
frozen [14]

Answer:

a) Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually is $5849.5

Step-by-step explanation:

Principal Amount P = 5000

Time t = 10 years

Annual interest i = 8% = 0.08

We need to find amount saved if interest is compounded a) annually b) semi-annually

a) Amount saved if the interest is compounded annually

If interest compounded annually, n= 1

Using Formula: A=P(1+\frac{r}{n})^{nt}

Putting values:

A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832

So, Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually

If interest compounded semi-annually, n= 2

Using Formula: A=P(1+\frac{r}{n})^{nt}

Putting values:

A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5

So, Amount saved if the interest is compounded semi-annually is $5849.5

4 0
3 years ago
ILS
Drupady [299]

Answer:

120.7

Step-by-step explanation:

14.2 • 8.5

The • sign means multiplication

14.2 x 8.5

120.7

5 0
3 years ago
The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π.
Oksi-84 [34.3K]

Answer:

area of circle in terms of π is \mathbf{Area=6.25\:\pi }

Step-by-step explanation:

The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π.

The formula used to find area of circle is: Area = \pi r^2

We need to find radius of circle. For finding radius we will first find diameter of circle using distance formula.

Finding distance between points A(3,2) and B(6,6) using distance formula.

Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have x_1=3, y_1=2, x_2=6, y_2=6

Putting values and finding distance

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-3)^2+(6-2)^2}\\Distance=\sqrt{(3)^2+(4)^2}\\Distance=\sqrt{9+16}\\Distance=\sqrt{25}\\Distance=5

So, distance is 5, we can say that diameter of circle = 5

The formula used to find area of circle is: Area = \pi r^2

We need radius, so we know that r = d/2 so, radius = 5/2 = 2.5

Now finding area in terms of π

Area = \pi r^2\\Area=(2.5)^2\pi \\Area=6.25\:\pi

So, area of circle in terms of π is \mathbf{Area=6.25\:\pi }

6 0
3 years ago
Sara is taking a test made up of multiple-choice and open-ended questions. The multiple-choice questions have a value of 4 point
kirill115 [55]
I believe that the answer is C.
8 0
4 years ago
Read 2 more answers
What is true about an equation with infinite solutions?
Tamiku [17]

When both sides of the equation are simplified, the coefficients are the same.

Step-by-step explanation:

An equation has infinite solutions when both sides of the equation are simplified, the coefficients are the same

5 0
2 years ago
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