15
QuizMultiple Choice

N/A — Exam

Question 15 • Advanced Financial Algebra

If you invest $⁢20,000 in a certificate of deposit (CD) that pays 3% interest compounded quarterly, what will be the total amount of interest earned at the end of one year? Formula for compound interest: A=P⁢(1+(r)/(n))^n⁢t where: •A is the amount of money accumulated after n periods, including interest •P is the principal amount •r is the annual interest rate ​​​​​​​ •n is the number of times interest is compounded per year (4 for quarterly) ​​​​​​​ •t is the time the money is invested

Answer
A
450 dollars
B
607 dollars
C
300 dollars
D
1 dollars comma 200

Explanation

Use the compound-interest formula with P = $20,000, r = 0.03, n = 4, and t = 1. The interest earned is $20,000(1 + 0.03/4)^4 − $20,000 ≈ $606.78, which rounds to $607. So the correct choice is $607.

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