Question

11

Jeanne Crawford had $10,675.50 deposited in an account paying 6.5% interest compounded semiannually.
a) What is the amount in her account 2 years later?
b) What is the compound Interest?

Answer 1

Answer and Explanation:

The computation is shown below:

a. The amount in 2 years later is

As we know that

Amount = Principal × (1 + rate)^time period

= $10,675.50 × (1 + 6.5% ÷ 2)^2× 2

= $10,675.50 × (1 + 0.03125)^4

= $10,675.50 × 1.130982

= $12,073.80

b. Now the compound interest is

= Final Amount - principal amount

= $12,073.80 - $10,675.50

= $1,398.30

The above formulas should be applied