Continuously Compounded Interest If a principal of P dollars is deposited in an account earning interest at the rate of rlyear compo then the accumulated amount at the end of t years is given by nded continuousiy, A = f(P, r, t) = Pet dollars. Find the accumulated amount at the end of 6 years if a sum of $10,000 is deposited in an account earning interest at the rate of 10%/year. (Round your answer to the nearest whole number.)

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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.