An investor has $450,000 to invest in two types of investments. Type A pays 6% annually and type B pays 7% annually. To have a well-balanced portfolio, the investor imposes the following conditions. At least one-third of the total portfolio is to be allocated to type A investments and at least one-third of the portfolio is to be allocated to type B investments. What is the optimal amount that should be invested in each investment?
A. $160,000 in type A (6%), $290,000 in type B (7%)
B. $0 in type A (6%), $450,000 in type B (7%)
C. $450,000 in type A (6%), $0 in type B (7%)
D. $300,000 in type A (6%), $150,000 in type B (7%)
E. $150,000 in type A (6%), $300,000 in type B (7%)
Answer: E
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Start with the given graph of y. a) Describe a sequence of transformations that results in the graph of g(x); b) Find the range of g(x); c) Find the horizontal asymptote of the graph of g(x).y = 4x; g(x) = 4x/5
A. a) The graph of y = 4x is stretched vertically by a factor of 5.
b) (0, ?)
c) y = 0
B. a) The graph of y = 5x is stretched horizontally by a factor of 4.
b) [0, ?)
c) y = 0
C. a) The graph of y = 4x is stretched horizontally by a factor of 5.
b) (0, ?)
c) y = 0
D. a) The graph of y = 4x is stretched horizontally by a factor of 
.
b) (0, ?)
c) x = 0
Use a graphing calculator to find the graph of the equation.y = x3 - 3x + 2
A. 
B. 
C. 
D. 
Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are integers. 
A. (-4, 3); quadrant I B. (-4, 3); quadrant II C. (-4, 6); quadrant I D. (-4, 6); quadrant II
Without graphing, determine whether the graph of the quadratic function opens up or opens down. Also, determine of the graph will be wider or narrower than the graph of y = x2.f(x) = 3x + 
x2 - 5
A. down, wider B. up, wider C. up, narrower D. down, narrower