7
practice testMultiple Choice

Practice Test

Question 7 • Mathematics III

A customer deposits 500 dollars in an account that pays 4 percent annual interest. What is the balance after 3 years if the interest is compounded annually? Compound interest formula: cap v times t is equal to cap p times open paren 1 plus r over n close paren raised to the n t power t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) cap p = initial (principal) investment cap v times t = value of investment after t years

Answer
A
512 point 0 0 dollars
B
500 point 1 2 dollars
C
560 point 0 0 dollars
D
562 point 4 3 dollars

Explanation

For annual compounding, use n = 1, with principal $500, rate r = 0.04, and t = 3 years. The balance is 500(1 + 0.04)^(1 × 3) = 500(1.04)^3 = $562.432, which rounds to $562.43. Therefore, the correct choice is D, $562.43.

AI-written and checked against the verified answer.

Previous
Next