A person places $66800 in an investment account earning an annual rate of 1%, compounded continuously. Using the formula V = P * e ^ (rt) where Vis the value of th account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent , in the account after 15 years .

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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.