Depreciation model for the price (P) in of the car a person wishes to buy is given by P=45520e^-0.1t, where t is the number of years since the car was brand new. The savings model for the amount (A) in dollars, this person has accumulated in the same t years is given by A=10,000(1.05)^t.

How many years (to 2 dps) will it take for this person to be able to buy the car (ie. where A=P) using his savings only?

The answer in the book is 10.19 years, but i dont know how to get there.

Thank you in advance