17
QuizMultiple Choice

Unit Test — Unit test

Question 17 • TX-Pre-Calculus

If you deposit $2000 in a savings account with an interest rate of r compounded annually, then the balance in the account after 3 years is given by the function B(c) = 2000(1 + r)3, where r is written as a decimal.What interest rate will yield a balance of $2300 after 3 years?

Answer
A
4.55%
B
3.25%
C
4.67%
D
4.77%

Explanation

Set the balance equal to $2,300: 2,000(1 + r)^3 = 2,300. Dividing by 2,000 and taking the cube root gives 1 + r = (1.15)^(1/3), so r ≈ 0.0477, or 4.77%. The correct choice is 4.77%.

AI-written and checked against the verified answer.

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