Solve the problem.P(x) = -x3 + x2 - 60x + 100, x ? 5 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred thousands of tires that must be sold to maximize profit.

A. 4.5 hundred thousand
B. 4 hundred thousand
C. 5.5 hundred thousand
D. 5 hundred thousand


Answer: D

Mathematics

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Solve the problem.Find an upper bound for the error in estimating  using the Trapezoidal Rule with n = 8 steps. Give your answer as a decimal rounded to four decimal places.

A. 0.6227 B. 0.3805 C. 0.2076 D. 0.3634

Mathematics

Solve the equation.0.024(500) + 0.06x = 0.04(500 + x)

A. {400} B. {410} C. {390} D. {200}

Mathematics

Solve.-3x - 7 = -43

A. -12
B. 12
C. -33
D.

Mathematics

Danny and Stacey have gone from the swing to the slide at the park. The slide is inclined at an angle . Danny weighs 39.0 pounds. He is sitting in a cardboard box with a piece of wax paper on the bottom. Stacey is at the top of the slide holding on to the cardboard box. Find the magnitude of the force Stacey must pull with, in order to keep Danny from sliding down the slide. (We are assuming that the wax paper makes the slide into a frictionless surface, so that the only force

keeping Danny from sliding is the force with which Stacey pulls.) ?    ? A. 37.8 lb B. 31.1 lb C. 26.5 lb D. 22.7 lb E. 29.8 lb

Mathematics