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Answer: ASet 15: Exponential Functions
Explanation
A car depreciates at 15% per year. If purchased for $25,000, what is its value after 4 years?
A.✓ Correct
$13,050.06
B.
$10,000
C.
$15,000
D.
$20,000
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Use exponential decay for depreciation. 1. Retention Rate: If it loses 15%, it keeps 85% = 0.85. 2. Formula: where . 3. Calculate: . Strategic Tip: Depreciation of 15% means retention factor of 0.85. Choice B is incorrect because this assumes too much depreciation. Choice C is incorrect because this assumes only 1-2 years of depreciation. Choice D is incorrect because this assumes only 1 year of depreciation.
Key Steps:
•
The correct answer is $13,050.06
Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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