Question

Kevin invested $8,000 for one year at a simple annual interest rate of 6 percent and invested $10,000 for one year at an annual interest rate of 8 percent compounded semiannually. What is the total amount of interest that Kevin earned on the two investments?

Answer 1

$1,296

Step-by-step explanation:

To get the total amount he earned, we calculate the simple interest the first and compound interest on the second investment

For the first;

I = PRT/100

Where I = the simple interest

P is the amount invested called the principal

R is the yield percentage called the rate

T is time frame of investment

For the first investment:

I = (8,000 * 6 * 1)/100 = $480

For the second investment

A = P(1 + R/n)^nt

A is amount

P is principal

R is rate

n is number of times, 2 in this case since it is semi annually

t is time, 1 year in this case

A = 10,000(1 + 0.08/2)^2

A= $10,816

Interest here is A - P

The interest earned is thus 10,816 - 10,000 = $816

Total amount of interest earned is thus $816 + $480 = $1,296