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
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