Solve the problem.P(x) = -x3 + 12x2 - 36x + 400, x ? 3 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. 2 hundred thousand
B. 3 hundred thousand
C. 7 hundred thousand
D. 6 hundred thousand


Answer: D

Mathematics

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Find the derivative of y with respect to the appropriate variable.y = (6 - 6?) tanh-1 ?

A.
B.  - 6 tanh-1 ?
C.  - 6 tanh-1 ?
D.  - 6 tanh-1 ?

Mathematics

Evaluate the expression or indicate that the root is not a real number.-

A. -4 B. -3 C. 3 D. Not a real number

Mathematics

Find the sum of the arithmetic series using a formula.2 + 4 + 6 + ... + 1202

A. S601 = 360,600 B. S601 = 361,802 C. S601 = 361,201 D. S601 = 362,404

Mathematics

A lottery offers you a choice of $1,000,000 per year for 6 years or a lump-sum payment. What lump-sum payment (rounded to the nearest dollar) would equal the annual payments if the current interest rate is 13% compounded annually? ?

A. $3,998,440 B. $3,997,550 C. $3,988,144 D. $4,517,231 E. $4,006,956

Mathematics