Solve the problem.A box with an open top is formed by cutting squares out of the corners of a rectangular piece of cardboard and then folding up the sides. If x represents the length of the side of the square cut from each corner, and if the original piece of cardboard is 14 inches by 12 inches, what size square must be cut if the volume of the box is to be 144 cubic inches? 
A. x = 6 in.
B. x = 4 in.
C. x = 3 in.
D. x = 8 in.
Answer: C
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Use synthetic division to find the quotient and the remainder.6x5 - 5x4 + x - 4 is divided by x + 
A. 6x4 - 2x3 - x2 + 
x + 
; remainder - 
B. 6x4 - 8x3 + 5; remainder - 
C. 6x4 - 2x3 + x2 - 
x + 
; remainder - 
D. 6x4 - 8x3 + 4x2 - 2x + 2; remainder -5
Solve the problem.Find the centroid of the region cut from the first quadrant by the line 
.
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 1, 
= 
D. 
= 
, 
= 1
Solve the problem.The initial value problem models the payoff of a loan. Solve the initial value problem for t ? 0, and determine the first month in which the balance is zero. B'(t) = 0.007B - 2800, B(0) = 70,000
A. B = 40,000 + 33,000e0.007t, reaches a balance of zero after approximately 37 months B. B = 40,000 - 33,000e0.007t, reaches a balance of zero after approximately 17 months C. B = 280,000,000e0.007 + 28,000,000e0.007t, reaches a balance of zero after approximately 77 months D. B = 400,000 - 330,000e0.007t, reaches a balance of zero after approximately 27 months
Simplify the expression.-8z - 3z
A. -11z B. 5z C. 5z2 D. -11z2