you are presented with a choice of two investments: one in a preexisting coffee shop, or a new one. each choice requiresthe same initial amount and generates a continuous income stream of 4%, compounded continuously. the rate of flowfrom the preexisting coffee shop is constant at $12,000 per year whereas that from the new one is expected to follow themodel $10,000e0.05tper year wheretis the time elapsed in years. which is the better choice over the next 5 years?