You manage a small antique store that owns a collection of Louis XVI jewelry boxes. Their value v is increasing according to the formula

?



?

where t is the number of years from now. You anticipate an inflation rate of 1% per year, so that the present value of an item that will be worth $v in t years' time is given by

?



?

In how many years from now will the greatest rate of increase of the present value of your antiques be attained? Round your answer to two decimal places.

?



A. t = 24.55 years

B. t = 3.07 years

C. t = 11.27 years

D. t = 12.27 years

E. t = 6.14 years


Answer: D

Mathematics

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