10. [10 Points) An investor is presented with a choice of two investments: an established clothing store and a new bookstore. The rate of flow of income from the clothing store is f(t) = 16,000 And the rate of flow of income from the bookstore is expected to be g(t) = 15,000e0-04t Each choice requires the same initial investment, and each income is continuously invested at a rate of 6%, compounded continuously. Compare the future values of these investments to determine which the better choice is over the next 5 years. . [10 Points| An investor is presented with a choice of two investments: an established clothing store and a new bookstore. The rate of flow of income from the clothing store is f(t) = 16,000 And the rate of flow of income from the bookstore is expected to be g(t) = 15,000e0-04t Each choice requires the same initial investment, and each income is continuously invested at a rate of 6%, compounded continuously. Compare the future values of these investments to determine which the better choice is over the next 5 years