Suppose that a jewelry store clerk makes a base salary of $2,500 per month plus a 5% commission on all jewelry she sells for the month. Thus, if the clerk sells s dollars in jewelry during a month, her pay for the month is given by E(s) = 0. 05s + 2500. Blank 1: Find a formula for the inverse of this function. Blank 2: Compute E-1 (3000). Blank 3: What does your result for Blank 2 tell you in the context of this problem? You should write the answer to this blank on your handwritten work; you do not have to type it into this blank.

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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.