A math tee shirt business is expected to generate $32,000 in revenue per year for the next 20 years. If the income is reinvested in the business at a rate of 5% per year compounded continuously, which expression below is the total accumulated value of this income stream at the end of 20 years? r20 32,000 e0.05t dt – 20•32,000 32,000 el 20 O e0.05 32,000 e-1t dt 20 O e! -0.05t 32,000 e dt r 20 32,000 elt dt JO

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A: Given ft=12000e0.02t rate = r = 4%=0.04

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Q: Suppose someone wants to accumulate ​$120,000 for retirement in

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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.