# Math Help - Asset appreciation question.

1. ## Asset appreciation question.

As the financial consultant to a classic auto dealership, you estimate that the total value (in dollars) of its collection of 1959 Chevrolets and Fords is given by the formula

v = 305,000 + 970t^2 (t ≥ 5)

where t is the number of years from now. You anticipate a continuous inflation rate of 5% per year, so that the discounted (present) value of an item that will be worth \$v in t years' time is

p = ve^−0.05t.
How many years from now would you advise the dealership to sell the vehicles to maximize their discounted value?

Thank you.

So $p= (305000+ 970t^2)e^{-.05t}$