Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at  and . The cross sections perpendicular to the x-axis between these planes are squares whose bases run from the parabola  to the parabola .

A. 432
B. 450
C. 75
D. 225


Answer: B

Mathematics

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Solve the problem.A sequence of payments of $1600 is invested at the end of every compounding period, where interest is compounded semiannually at an interest rate of 4.3%. What is the total amount of the annuity after 7 years?

A. $63,025.54 B. $25,816.24 C. $75,933.66 D. $59,753.38

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Solve the system by the substitution method.

A. (6, -5), (5, -6) B. (6, 5), (-5, -6) C. (-6, -5), (-5, -6) D. (-6, 5), (-5, 6)

Mathematics

Solve the problem.The polynomial  gives the approximate total earnings of a company, in millions of dollars, where x = 0 corresponds to 1996, x = 1 corresponds to 1997, and so on. This model is valid for the years from 1996 to 2000. Determine the earnings for 1999.

A. $2.11 million B. $2.04 million C. $1.83 million D. $2.47 million

Mathematics

Find an equation of the circle with the given center and radius.Center (4, 0), radius 

A. (x - 4)2 + y2 = 14 B. (x + 4)2 + y2 = 14 C. x2 + (y + 4)2 = 196 D. x2 + (y - 4)2 = 196

Mathematics