10
QuizMultiple Choice

Modeling Investments — Quiz

Question 10 • Advanced Financial Algebra

Elliot deposited $⁢300 into a savings account with a 3% interest that compounds monthly. Which formula will correctly show Elliot how much the investment will grow after 2 years?

Answer
A
A=300×(1+31)1×2
B
A=300×(1+0.0312)12×2
C
A=300×(1+0.031)1×2
D
A=300×(1+312)12×2

Explanation

Use the compound interest formula A = P(1 + r/n)^(nt), where P = 300, r = 0.03, n = 12 monthly compounding periods per year, and t = 2 years. Substituting gives A = 300 × (1 + 0.03/12)^(12 × 2), which is choice B. The interest rate must be written as 0.03, and the monthly rate is 0.03 divided by 12.

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