Question

Jeff deposits $3,000 into an account which pays 5 percent interest, compounded annually. At the same time, Kurt deposits $3,000 into an account paying 3 percent interest, compounded annually. At the end of three years:________ 1) Kurt will earn exactly twice the amount of interest that Jeff earns. 2) Kurt will have a larger account value than Jeff will. 3) Kurt will have a smaller account value Jeff will. 4) Jeff will have more money saved than Kurt. 5) Both Jeff and Kurt will have accounts of equal value

Answer 1

Kurt will have a smaller account value than Jeff will

Step-by-step explanation:

The formula for calculating future value = A (B / r)

B = [(1 + r)^n] - 1

Jeff : $3000 x [(1.05^3 - 1 ) / 0.05] = $9457.50

Kurt :$3000 x [(1.03^3 - 1 ) / 0.03] = $9272.70

Jeff would have a higher account value than Kurt