You have a $10,000 investment earning 8% annual interest compounded quarterly. The amount A(t), after t years, is given by A(t)=10000(1.02)4t. The account was opened January 1, 2019.1) Draw a clearly labeled graph of A(t) on the grid below for t running from 0 to year 30. Scale both axes appropriately on your graph. (Find the value in year 30 before you graph anything). 2) Suppose you opened a simple interest savings account on the same day. Based on 10% annual rate of return, the amount B(t), after t years, is given by B(t)=10000+1000t. ---> Is the amount in the investment account always greater than the amount in the savings account? Explain your reasoning.

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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.