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10. The value of a book is $58 and decreases at a rate of 10% per year; 8 years.

User GoinOff
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1 vote

Answer:

$24.96

Explanation:

The question was incomplete. If you are asking how much is the book worth after 8 years, here's how to do it

Original cost = $58
Since the rate of decrease = 10%, the cost of the book after 1 year is 90% of the original price

90% = 90/100 = 0.9

Therefore after 1 year, the book cost is 58(0.9)

After another year(effectively 2 years) the above cost will drop by another 10% to 90% of the first year value: 58(0.9)(0.9) = 58(0.9)²

So the value of the book after a period of n years is modeled by the function

V = 58 (0.9)ⁿ

After 8 years the value is
58 (0.9)⁸ = 58 x 0.43046721

V = $24.96 rounded to the nearest cent

User Walter Rumsby
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