3
QuizMultiple Choice

Exponential Depreciation — Quiz

Question 3 • Advanced Financial Algebra

A restaurant buys kitchen equipment for $⁢8,000 , and it depreciates at 12% per year. How much will the equipment be worth after 5 years? The exponential depreciation formula is y=A⁢(1−r)^x

Answer
A
4 dollars comma 931 point 4 0
B
5 dollars comma 400 point 0 0
C
4 dollars comma 221 point 8 6
D
6 dollars comma 000 point 0 0

Explanation

Use the depreciation formula with A = 8,000, r = 0.12, and x = 5: y = 8,000(1 − 0.12)^5 = 8,000(0.88)^5 ≈ 4,221.86. The equipment will be worth about $4,221.86, which is choice C.

AI-written and checked against the verified answer.

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