Factor the polynomial completely using the grouping method.4x2 - 5x + 9

A. (4x - 9)(x - 1)
B. (4x - 1)(x - 9)
C. prime
D. (2x - 9)(2x - 1)


Answer: C

Mathematics

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Solve the problem.A dentist can sell his practice for $1,100,000 cash or for $250,000 plus $270,000 at the end of each year for 4 years. (a) Find the present value of the annuity that is offered if money is worth 8% compounded annually. (b) If she takes the $1,100,000, spends $250,000 of it, and invests the rest in a 4-year annuity at 8% compounded annually, what size annuity payment will she receive at the end of each year? (c) Which is better, taking the $250,000 and the annuity or taking the cash settlement?

A. (a) $894,274.25;  (b) $256,632.68; (c) $250,000 plus the annuity has a larger present value than $1,100,000. She should take $250,000 plus the annuity. B. (a) $697,533.91;  (b) $255,726.92; (c) $250,000 plus the annuity has a smaller present value than $1,100,000. She should take the $250,000 plus the annuity. She should take the cash settlement. C. (a) $992,644.41;  (b) $253,613.48; (c) $250,000 plus the annuity has a larger present value than $1,100,000. She should take $250,000 plus the annuity. D. (a) $581,278.26;  (b) $241,234.72; (c) $250,000 plus the annuity has a smaller present value than $1,100,000. She should take the cash settlement.

Mathematics

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.

A.
B. -82
C. 82
D.

Mathematics

Add or subtract as indicated. Express the answer as a single polynomial in standard form.(3x5 + 4x3 - 17) - (5x5 + 18x3 - 13)

A. -2x5 - 14x3 - 4 B. -20x8 C. -2x5 - 14x3 - 30 D. -2x5 + 9x3 - 30

Mathematics

Express the sum or difference as a product of sines and/or cosines.sin (7?) + sin (3?)

A. 2 sin (10?) B. 2 sin (5?) cos (2?) C. 2 cos (5?) sin (2?) D. 2 sin (5?) sin (2?)

Mathematics