9
QuizMultiple Choice

Types of Compound Interest — Quiz

Question 9 • Advanced Financial Algebra

Wyatt deposits $⁢1,500 in a bank offering an annual interest rate of 4.75% If the interest is compounded continuously and Wyatt keeps the money in the bank for 3 years, how much will Wyatt have at the end of the period? A=P⁢e^r⁢t

Answer
A
1 dollars comma 521 point 5 3
B
6 dollars comma 236 point 7 9
C
1 dollars comma 502 point 1 4
D
1 dollars comma 729 point 7 3

Explanation

Use the continuous compounding formula A = Pe^(rt), with P = 1,500, r = 0.0475, and t = 3. Then A = 1,500e^(0.0475 × 3) = 1,500e^0.1425 ≈ $1,729.73. Wyatt will have about $1,729.73, which is choice D.

AI-written and checked against the verified answer.

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