Suppose that P, is invested in a savings account in which interest is compounded continuously at 5.9% per year. That is, the balance P grows at the rate given by the following equation. dP = 0.059P(t) dt (a)Find the function P(t) that satisfies the equation. Write it in terms of Po and 0.059. (b)Suppose that $1500 is invested. What is the balance after 2 years? (c)When will an investment of $1500 double itself? (a) Choose the correct answer below. O A. P(1) = P(t) e0.059 O B. Po = P(t) e 0.059t OC. P(t) = Po e 0.0591 CO D. P(t)=0.059P, e

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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.