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
Answer: C
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Solve the problem.In 1984, the life expectancy for a female born in the United States was 75.7 years and was increasing at a rate of 0.25 years per year. Assume that this rate of increase remains constant. Using an appropriate linear equation as a model, estimate the life expectancy of a female born in the U.S. in 1998.
A. 80.20 years B. 79.20 years C. 89.20 years D. 3.50 years
Solve the problem.A will states that of the estate is to be divided among the relatives. Of the remaining estate,
goes to a certain charity. What fractional part of the estate goes to the charity?
A.
B.
C.
D.
Find the product.(x2 - 4y2)2
A. x4 + 16y4 B. x4 - 4x2y2 + 16y4 C. x4 - 8x2y2 + 16y4 D. x4 - 16y4
Find the value of 4xy2 if x = 6 and y = 8.
a. 32 b. 128 c. 512 d. 1,536 e. 9,216