The average depreciation rate of a new boat is approximately 8% per year. If a new boat is purchased at a price of $75,000, which model is a recursive formula representing the value of the boat n years after it was purchased?-> 3) a = 75,000(1,08)" 4) a₁ = 75,000 a = 0.92(a) (1) 2) a, = 75,000(0.08)" - a₁ = 75,000 0 a, = (0.92)"

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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The average depreciation rate of a new boat is approximately 8% per year. If a new boat is purchased at a price of $75,000, which model is a recursive formula representing the value of the boat \( n \) years after it was purchased?

1) \( a_1 = 75,000(0.08) \)
   \( a_n = 75,000 \)

2) \( a_1 = 75,000 \)
   \( a_n = 75,000(0.92)^{n-1} \)

3) \( a_1 = 75,000(0.08) \)
   \( a_n = 75,000(0.08)^{n-1} \)

4) \( a_1 = 75,000 \)
   \( a_n = 0.92(a_{n-1}) \)
Transcribed Image Text:The average depreciation rate of a new boat is approximately 8% per year. If a new boat is purchased at a price of $75,000, which model is a recursive formula representing the value of the boat \( n \) years after it was purchased? 1) \( a_1 = 75,000(0.08) \) \( a_n = 75,000 \) 2) \( a_1 = 75,000 \) \( a_n = 75,000(0.92)^{n-1} \) 3) \( a_1 = 75,000(0.08) \) \( a_n = 75,000(0.08)^{n-1} \) 4) \( a_1 = 75,000 \) \( a_n = 0.92(a_{n-1}) \)
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