A 58-year-old couple are considering opening a business of their own. They will either purchase anestablished Gift and Card Shoppe or open a new Video Rental Palace.The Gift Shoppe has a continuous income stream with an annual rate of flow (in dollars per year) at timet given by?(?) = 40,000The Video Palace has a continuous income stream with a projected annual rate of flow (in dollars peryear) at time t given by V(t)=24,600e0.08tThe initial investment is the same for both businesses, and money is worth 10% compoundedcontinuously. Determine which is the better buy by finding the present value of each business over thenext 8 years (until the couple reach age 66)._________________________________________________________

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.