Solve the problem.It is estimated that the total value of a stamp collection is given by the formula
where t is the number of years from now. If the inflation rate is running continuously at 4% per year so that the (discounted) present value of an item that will be worth $v in t years' time is given by
Sketch the graph of the discounted value as a function of time at which the stamp collection is sold. The graph has an absolute maximum. What is the value of t at the absolute maximum? What is the discounted value of the collection at that time?
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A. ; at which time the discounted value is
.
B. ; at which time the discounted value is
.
C. ; at which time the discounted value is
.
D. ; at which time the discounted value is
.
Answer: D
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A.
B.
C.
D.
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