For selected years from 1978 to 2002, the number of mutual funds N, excluding money market funds, can be modeled by
, where t is the number of years past 1975 (Source: Investment Company Institute, Mutual Fund Fact Book (2003)). Use the model to estimate the year when the number of mutual funds will reach 8,000.
?
A. 1997
B. 1999
C. 2005
D. 2003
E. 2009
Answer: C
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Use graphical methods to solve the linear programming problem.2x + 6y ? 304x + 2y ? 20x ? 0y ? 0Minimize P = 0.18x + 0.12y
A. Minimum of 1.08 when x = 4 and y = 3 B. Minimum of 1.2 when x = 4 and y = 4 C. Minimum of 1.86 when x = 9 and y = 2 D. Minimum of 1.02 when x = 3 and y = 4
Solve the equation. = 1 -
A. {0, -5} B. {0, 7} C. {1, 5} D. ?
Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 in. Find the dimensions of the rectangular package that would have the greatest possible volume under these regulations. (Hint: Let the dimensions of the box be x'' by y'' by z'' (see the figure below). Then, , and the volume
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.)
?
?
x = __________ inches
?
y = __________ inches
?
z = __________ inches
?
V = __________ cubic inches
What will be an ideal response?
Graph the rational function.f(x) = -
A.
B.
C.
D.