A bank features a savings account that has an annual percentage rate of r = 2.9% with interest compounded quarterly. Emma deposits $5,000 into the account. kt ,where The account balance can be modeled by the exponential formula A(t) = a(1+ A is account value after t years, a is the principal (starting amount), r is the annual percentage rate, k is the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? a k = (B) How much money will Emma have in the account in 9 years? Amount = $ Round answer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY =

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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.