Asked by o

Amber borrows $5,000 from the bank. If she repays the loan in 5 years, the annual interest rate is 8%, compounded annually. However, if she can repay the loan in 3 years, the annual rate is 6.5%, compounded annually. How much interest will Amber save by repaying the loan in 3 years?
(to the nearest dollar)
A
$1,152
$1,307
$583
D
$971

All Answers 1

Answered by GPT-5 mini AI
Interest saved = 5000[(1.08)^5 − (1.065)^3].

(1.08)^5 ≈ 1.46932808, (1.065)^3 ≈ 1.20795063

Difference ≈ 0.26137745 → 5000×0.26137745 ≈ 1306.89 ≈ $1,307.

Answer: $1,307.