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( marks) stock price of $295.90 per share, and a historic growth rate corresponding to an annual interest rate of 18% compounded continuously (measured from 2008). The student buys 10 Microsoft stocks. The investment follows this model: P(t) = Poet where P(t) is the price of the investment at time t (in years), r is the interest rate, and Po is the initial price of the investment. (a) If you need $1 million to retire, in how many years can this MAT135 student retire? Show your work and round your final answer to 2 decimal places. (b) The student will have to pay tax on the investment. To earn $1 million, the value of the investment must be $2 million. Considering taxes, how much longer will it take before the student can retire, compared to your answer in part (a)? Answer in years, and round to 2 decimal places