17
RCMultiple Choice

Cumulative Exam — Cumulative exam

Question 17 • Mathematical Models with Applications - MA4072 CR

Solve the problem. Round to the nearest cent.Mrs. Matthews wants to have $18,000 in the bank in 2 years. If she deposits $9000 today at 6% compounded quarterly for 2 years, how much additional money will she need to reach the desired $18,000?

Answer
A
$10,138.43
B
$7861.57
C
$8864.49
D
$0

Explanation

The deposit grows to $9,000(1 + 0.06/4)^(4 × 2) = $10,138.43 after 2 years. Subtract this from the $18,000 goal: $18,000 − $10,138.43 = $7,861.57, so she needs an additional $7,861.57.

AI-written and checked against the verified answer.

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