The jackpot in a lottery increases according to the function J(t)[which is function notation and read J of t, not J times t]. J(t)= 200,000(4'), where t is the number of drawings since the last winner, and J(t) is in dollars. How much is in the jackpot if there have been 5 drawings since the last winner?

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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.