5. An investor places $5000 into an account whose value increases according to the function A(t) = 5000- (2)5 where A is the investment's value after t years. 3) Determine the value in the account after 5 years. b) How long will it take for this investment to double in value? c) How long will it take for this investment to triple in value (using the natural logarithm to solve)? d) Find the rate at which the investment is growing for the times in part b) and part c)