7
Answer: ASet 16: Exponential Functions
Explanation
A new phone loses 30% of its value each year. If it costs $1,200 new, what will it be worth after 3 years?
A.✓ Correct
$411.60
B.
$360.00
C.
$840.00
D.
$600.00
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Apply depreciation formula. 1. Retention: Loses 30%, keeps 70% = 0.70. 2. Formula: where . 3. Calculate: . Strategic Tip: Loses 30% means retention factor of 0.70. Choice B is incorrect because this assumes 70% loss, not retention. Choice C is incorrect because this is the value after 1 year. Choice D is incorrect because this is the value after a 50% loss total.
Key Steps:
•
The correct answer is $411.60
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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