uppose that a machine's production can be considered as a continuous income stream with annual rate of flow at time t given by f(t) = 10,000 − 800t (dollars per year). If money is worth 10%, compounded continuously, find the present value of the machine over the next 2 years. (Round your answer to the nearest dollar.)

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A: I am here to help you.

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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.