Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 120 in. Find the dimensions of the rectangular package that would have the greatest possible volume under these regulations. (Hint: Let the dimensions of the box be x'' by y'' by z'' (see the figure below). Then, , and the volume

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A. x = 20 inches, y = 40 inches, z = 20 inches, V = 16,000 cubic inches

B. x = 20 inches, y = 20 inches, z = 17 inches, V = 6,800 cubic inches

C. x = 22 inches, y = 40 inches, z = 22 inches, V = 16,000 cubic inches

D. x = 22 inches, y = 39 inches, z = 17 inches, V = 14,586 cubic inches

E. x = 22 inches, y = 40 inches, z = 17 inches, V = 14,586 cubic inches

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Answer: A

Mathematics

Solve the problem.Find the net price of a bicycle that lists for $189.95 if a discount rate of 10% is offered. Round to the nearest cent.

A. $170.96 B. $170.46 C. $19.00 D. $18.50

Determine the equation of the line described. Put answer in the slope-intercept form, if possible.Through (-3, -9), perpendicular to -9x - 5y = 72

A. y = x
B. y = x - 66
C. y = x -  
D. y = - x +  

Solve the problem using your calculator.Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. Use a graphing calculator to model the data with a linear function that predicts a student's current GPA as a function of his or her entering GPA.   Entering GPA Current GPA   3.5 3.6 3.8 3.7 3.6 3.9 3.6 3.6 3.5 3.9 3.9 3.8 4.0 3.7 3.9 3.9 3.5 3.8 3.7 4.0  

A. y = 5.81 + 0.497x B. y = 3.67 + 0.0313x C. y = 2.51 + 0.329x D. y = 4.91 + 0.0212x

Use graphical methods to find any turning points of the graph of the function.f(x) = 

A. (0, 0) B. No turning points C. (1, 2) D. (-1, -2)