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The shaded region between the graphs of y = - 2x + 20 and y = 3x - 15 is displayed below in orange. 25

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The shaded region between the graphs of y = - 2x" + 20 and y = 3x - 15 is displayed below in orange. 25 X -6 + Ax - -40 The shaded region lies between x = -5 and a = 3.5 A typical rectangle is shown in the diagram located at position x. What is the area of this rectangle, in terms of ac? Ax Now find the total area of the orange shaded region. Write your answer in exact form. A =A company is considering expanding their production capabilities with a new machine that costs $71,000 and has a projected lifespan of 10 years. They estimate the increased production will provide a constant $7,000 per year of additional income. Money can earn 0.5% per year, compounded continuously. Should the company buy the machine? No, the present value of the machine is less than the cost by v " _ over the life of the machine Submit

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