6
QuizMultiple Choice

Solving Trigonometric Equations — Unit test

Question 6 • AP Calculus AB - MA5186 A

This question is designed to be answered with a calculator.A bank account earns 2.5% interest per year. If the account starts with $500, approximately how many years will it take for the value of the account to be $750?

Answer
A
1.5
B
5.5
C
16.4
D
20.0

Explanation

Use the annual compound-interest equation: 500(1.025)^t = 750. Divide by 500 to get (1.025)^t = 1.5, then solve t = ln(1.5) / ln(1.025) ≈ 16.4 years. So the account will take approximately 16.4 years to reach $750, choice C.

AI-written and checked against the verified answer.

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