Questions 12, 13, and 14

14. DETAILS HARMATHAP12 13.4.015. ASK YOUR TEACHER A 63-year-old couple is considering opening a business of their own. They will either purchase an established Gift and Card Shoppe or open a new Wine Boutique. The Gift Shoppe has a continuous income stream with an annual rate of flow at time t given by G(t) = 37,400 (dollars per year). The Wine Boutique has a continuous income stream with a projected annual rate of flow at time t given by W(t) = 19,200e .08 (dollars per year). The initial investment is the same for both businesses, and money is worth 10% compounded continuously. Find the present value of each business over the next 2 years (until the couple reaches age 65) to see which is the better buy. (Round your answers to the nearest dollar.) Gift Shoppe $ Wine Boutique $DETAILS HARMATHAP11 13.4.003. Suppose that a steel company views the production of its continuous caster as a continuous income stream with a monthly rate of flow at time t given by f(t) = 36,000e0.03t ( dollars per month). Find the total income from this caster in the first year. (Round your answer to the nearest dollar.) $13. DETAILS HARMATHAP11 13.4.009. A continuous income stream has an annual rate of flow at time t given by f(t) = 12,000e0.01t (dollars per year). If money is worth 2% compounded continuously, find the present value of this stream for the next 8 years. (Round your answer to the nearest dollar.) $ Submit