2. A coffee shop determines that the daily profit on scones obtained by charging s dollars per scone is P(s) = -20s? + 150s – 10. The coffee shop currently charges $3.25 per scone. Find P' (3.25), the rate of change of profit when the price is $3.25, explain what it means, and decide whether or not the coffee shop should consider raising or lowering its prices on scones. Show detailed work for credit.

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Q: For interest rate i, you are given än+1] = 7.73 and 3-11 = 17.35. Find 11. n- $11

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Q: E=1,96/.32(l-.32) 288

A: To solve: E=1.960.32(1-0.32)806 Then, E=1.96×0.32…

Q: Find the slope

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Q: Ln x = 2.83254 %3D Fina X

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Q: 1.574 = 0.000173 * f2

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Q: Use the result from part (c) to find the cost to the company if employee turnover is 39% in a year

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Q: What si the slope of a line with the equation y=-2/3x+4

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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.