Using simple interest, and considering a loan of $5,000, it is found that:
a) Her monthly payment is of $74.17.
b) She will pay back $8,900.
c) The total interest amount is of $3,900.
The amount of money after <u>t years</u> in <em>simple interest</em> is modeled by:
In which:
- A(0) is the initial amount.
- r is the interest rate, as a decimal.
In this problem:
- The loan is of $5,000, hence
.
- The APR is of 7.8%, hence
![r = 0.078](https://tex.z-dn.net/?f=r%20%3D%200.078)
- 10 years, hence
![n = 10](https://tex.z-dn.net/?f=n%20%3D%2010)
Item b:
![A(10) = 5000[1 + 0.078(10)] = 8900](https://tex.z-dn.net/?f=A%2810%29%20%3D%205000%5B1%20%2B%200.078%2810%29%5D%20%3D%208900)
She will pay back $8,900.
Item a:
$8,900 will be paid in 10 x 12 = 120 months, hence:
![M = \frac{8900}{120} = 74.17](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B8900%7D%7B120%7D%20%3D%2074.17)
Her monthly payment is of $74.17.
Item c:
<u>Loan of $5,000, pays back $8,900</u>, hence:
8900 - 5000 = 3,900
The total interest amount is of $3,900.
A similar problem is given at brainly.com/question/13176347