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. 5 hundred thousand
C. 4 hundred thousand
D. 5.5 hundred thousand


Answer: B

Mathematics

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Compute the compound interest.At what interest rate must $4000 be compounded annually to equal $9639.38 after 13 yr? (Round to the nearest percent.)

A. 6% B. 8% C. 7% D. 9%

Mathematics

Solve the problem.A wheel is rotating at 2 radians/sec, and the wheel has a 47-inch diameter. To the nearest foot, what is the speed of a point on the rim in ft/min?

A. 225 ft/min B. 240 ft/min C. 235 ft/min D. 230 ft/min

Mathematics

Determine if the given integer value for the variable is a solution to the equation.7n = 40 - n; 5

A. Yes B. No

Mathematics

Determine the standard equation of the ellipse described.Focus at (0, -4); vertices at (0, -8) and (0, 8).

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics