Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. Zeros: -2, multiplicity 2; -1, multiplicity 1; degree 3

A. x3 - 5x2 + 8x - 4
B. x3 + 4x2 + 8x + 4
C. x3 - 5x2 + 4x - 4
D. x3 + 5x2 + 8x + 4


Answer: D

Mathematics

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Solve the problem. Round dollars to the nearest cent and rates to the nearest tenth of a percent.Toys4U purchases tricycles for $27. The store's operating expenses are 20% of cost with a net profit of 13% of cost. Find the selling price of one tricycle.

A. $28.89 B. $35.91 C. $18.09 D. $25.11

Mathematics

Write a linear programming model, including the objective function and the set of constraints for the following problem. DO NOT SOLVE, but be sure to define all your variables. ? Brown Bros., Inc., is an investment company doing an analysis of the pension fund for a certain company. The fund has a maximum of $10 million to invest in two places: no more than $8 million in stocks yielding 12%, and at least $2 million in long-term bonds yielding 9%. The stock-to-bond investment ratio cannot be more than 2 to 1. How should Brown Bros. advise its client so that the investments yield the maximum yearly return? ? DENOTE: ? x = amount invested in stock (in millions of dollars) y = amount invested in bonds (in millions of dollars) ?

A.

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B.

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C.

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D.

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E.

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Mathematics

Find the particular solution for the initial value problem.  = (x + 1)3ey; y(3) = 0

A. y = -ln
B. y = e65 - (x + 1)4/4
C. y = -ln
D. y = -ln

Mathematics

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r.Find a12 when a1 = -3, r = -2.

A. 6144 B. -25 C. 6148 D. -12,288

Mathematics