Question

Andy deposited $3,000 this morning into an account that pays 5 percent interest, compounded annually. Barb also deposited $3,000 this morning into an account that pays 5 percent interest, compounded annually. Andy will withdraw his interest earnings and spend it as soon as possible. Barb will reinvest her interest earnings into her account. Given this, which one of the following statements is true?a. Barb will earn more interest the first year than Andy will.b. Andy will earn more interest in yera three than Barb will.c. Barb will earn interest on interest.d. After five years, Andy and Barb will both have earned the same amount of nterest.e. Andy will earn compound interest.

Answer 1

Answer:

C) Barb will earn interest on interest.

Explanation:

Compound interest can be defined as more interest earned by previously earned interest, i.e. interest that earns more interest.

At the end of the first year both Andy and Barb will have $3,150 in their accounts (= $3,000 + 5%). Since Andy will withdraw his money at the end of year 1, only Barb will earn compound interest. At the end of second year Andy will have $3,150 while Barb will have $3,307.50 (= $3,150 + 5%).