A company has invested $16000 in an account where the expected annual rate of return is 7.1%. Assume a growth model of A(t) = ae^kt answer the following. Find A(t) and round your value of k to four decimals. Use this model to answer the following questions. Use your model to answer the following. What is value of the investment after 4 years? How many years will it take for the value of the investment reach $180000? Find the rate at which the value of the investment is increasing in terms of t years. How fast is the investment increasing in value after 4 years? How long will it take for the investment to increase at a rate of 12300 dollars per year