Determine the value of each investment(a) An investment of $10000 at an APR of 5.2% compounded annually for 13 years

To determine the value of the investment, we can use the formula for compound interest, which is:

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

Where: A = the amount of money accumulated after n years, including interest. P = the principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = the time the money is invested for in years

Given in the problem: P = $10,000 r = 5.2/100 = 0.052 (you divide by 100 to convert the percentage into a decimal) n = 1 (since the interest is compounded annually) t = 13 years

Substitute these values into the formula:

A = 10000 (1 + 0.052/1) ^ (1*13) A = 10000 (1 + 0.052) ^ 13 A = 10000 * 1.052 ^ 13 A = 10000 * 1.889 A = $18,890

So, the value of the investment after 13 years would be approximately $18,890.