An investor is presented with a choice of two investments: an established clothing store and a new book store. Each choice requires the same initial investment and each produces a continuous income stream of 4%, compounded continuously. The rate of flow of income from the clothing store is f(t) = 12,000, and the rate of flow of income from the book store is expected to be g(t) = 10,000e 0.06t Compare the future values of these investments to determine which is the better choice over the next 4 years.