21
QuizMultiple Choice

Personal Savings and Consumer Credit: Part Two — Test

Question 21 • Advanced Financial Algebra

Kendra has $⁢4,000 to invest and is considering two different options for a 4 -year period. She can either invest in a compound interest account with a 3.5% annual interest rate or a simple interest account. To ensure both investments grow to the same amount, she needs to choose the correct simple interest rate. Based on the options below, select the simple interest rate that will match the final amount of the compound interest investment. Compound Interest Formula: A=P⁢(1+(r)/(n))^n⁢t Simple Interest Formula: A=P⁢(1+r⁢t)

Answer
A
3 point 6 8 8 percent simple interest
B
3 point 1 2 5 percent simple interest
C
3 point 5 percent simple interest
D
4 percent simple interest

Explanation

With annual compounding, the investment grows to $4,000(1.035)^4 after 4 years, which is about $4,590.09. For simple interest to reach the same amount, its rate must satisfy $4,000(1+4r)=$4,590.09, giving r≈0.03688, or 3.688%. Therefore, the matching rate is 3.688% simple interest.

AI-written and checked against the verified answer.

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