You Manage a Small Antique Store That Owns a Collection

Multiple Choice

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 2% 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?

A) t = 17.58 years
B) t = 60.60 years
C) t = 5.45 years
D) t = 18.18 years
E) t = 2.73 years