Solve the problem.A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 61 feet and the radius of the hemisphere is r feet, express the volume of the silo as a function of r.
A. V(r) = 61?r2 + 
?r3
B. V(r) = ?(61 - r)r3 + 
?r2
C. V(r) = ?(61 - r) + 
?r2
D. V(r) = ?(61 - r)r2 + 
?r3
Answer: D
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Write each mixed number as an improper fraction.11
A. 12
B. 
C. 
D. 
Solve and give interval notation for the solution set. Then graph the solution set.3x - 9 < -2.4 or 3x - 9 > 2.4
A. (-?, -3.8] ? (3.8, ?)
B. (-?, 2.2) ? (3.8, ?)
C. no solution
D. (-?, ?)
Find the indicated term using the given information.a = -10, d = -2; a8
A. 4 B. -26 C. 6 D. -24
Solve the problem.An investor has $500,000 to invest in stocks, bonds, and commodities. If he plans to put three times as much into stocks as in bonds, how can he distribute his money among the three types of investments? (Let x denote the amount put into stocks, y the amount put into bonds, and z the amount put into commodities. Let all amounts be in dollars, and let z be the parameter.)
A. x = 375,000 - z/2, y = 125,000 - z/2, 0 ? z ? 500,000 B. x = 375,000 - 3z/4, y = 125,000 - z/4, 0 ? z ? 500,000 C. x = 125,000 - 3z/4, y = 375,000 - z/4, 0 ? z ? 500,000 D. x = 125,000 - z/2, y = 375,000 - z/2, 0 ? z ? 500,000