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...

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 timet given by

The Wine Boutique has a continuous income stream with a projected annual rate of flow at timet given by

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.)