$5,000 is invested in an account bearing 10% interest compounded continuously. The amount of time it
takes for the money to grow by a factor of is given by = () = 10 ⋅ln(). (For example, the
amount of time required for the investment to double is (2) = 10 ⋅ln(2).) How long will it take the
balance in the account to reach $7,500? Find a formula for the inverse function. Evaluate ^−1
(8) and
explain what this tells you in practical terms.