An investment worth $1 million in 2005 has been growing at a rate of f(t) = 0.144(1.15^t) million dollars per year where t is the number of years since 2005. (a) Calculate how much the investment will have grown between 2005 and 2015. (Round your answer to three decimal places.) $ ____ million How much is it projected to grow between 2015 and 2020? (Round your answer to three decimal places.) $ ____ million (b) Recover the function for the model that gives future value of an investment in million dollars t years since 2005. (The coefficient of integration should be rounded to three decimal places.) F(t) =_____ million dollars