A 57 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 39 900 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 000e0 08t 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 8 years until the couple reaches age 65 to see which is the better buy Round your answers to the nearest dollar