Question

Old Time Savings Bank pays 3% interest on its savings accounts. If you deposit $1,800 in the bank and leave it there: (Do not round intermediate calculations. Round your answers to 2 decimal places.)
a. How much interest will you earn in the first year?
b. How much interest will you earn in the second year?
c. How much interest will you earn in the 10th year?

Answer 1

Answer:

A. $54

B. 55.62

C. $70.46

Explanation:

The formula for calculating compound interest is

FV = P (1 + r ) ^n

FV = Future value

P = Present value

R = interest rate

N = number of years

A. $1,800 (1.03) = $1854

Interest rate = $1854 -$1,800 = $54

B. $1,800 (1.03)^2 = $1,909.62

Interest rate = $1,909.62 - $1854 = $55.62

C. $1,800 (1.03)^10 = $2,419.05

To service the interest rate, we have to determine the future value in year 9

$1,800 (1.03)^9 = $2,348.59

Interest rate = $2,419.05 - $2,348.59 = $70.46

I hope my answer helps you