Use an Euler diagram to determine whether the argument is valid or invalid.All painters use paint.All painters use brushes.Some people who use paint are teachers. Some painters are teachers.
A. Invalid
B. Valid
Answer: A
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Graph the integrand and use geometry to evaluate the integral.
A. 33 B. 18 C. 9 D. 17
Fashion Clothier's economic ordering quantity (EOQ) for its dyes is 2,000 units. If the total demand is 100,000 units per period, the carrying cost per unit is 15 percent of the inventory value, the dyes purchase price is $10, and the fixed cost per order is $30, then Fashion's total inventory cost is_____.
A. $1,500 B. $4,500 C. $6,000 D. $11,500 E. $3,000
Multiply and simplify.18 
A. 
B. -162
C. -2
D. 2
Solve the problem.An investor has $400,000 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 = 100,000 - z/2, y = 300,000 - z/2, 0 ? z ? 400,000 B. x = 300,000 - z/2, y = 100,000 - z/2, 0 ? z ? 400,000 C. x = 300,000 - 3z/4, y = 100,000 - z/4, 0 ? z ? 400,000 D. x = 100,000 - 3z/4, y = 300,000 - z/4, 0 ? z ? 400,000