Solve the problem.Suppose that the quantity supplied S and quantity demanded D of baseball caps at a major league game are given by the functions S(p) = 5500 - 100p and D(p) = 120p, where p is the price. Find the equilibrium price for caps at the game. Then find the equilibrium quantity.
A. $25, $3000
B. $45, $1000
C. $20, $3500
D. $20, $3000
Answer: A
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Solve the linear system using an inverse matrix.x + 2y + 3z = -12x + y + z = 1x - 2z = 10
A. (18, -21, 4) B. (-12, 0, 0) C. (17, -33, 4) D. (-10, -11, 0)
Solve.7 - 2x = 10x - 4x - 17
A.
B. 3
C. -
D. -
Find the indicated maxima or minima.Minimum of f(x, y, z) = x2 + y2 + z2,subject to x + 2y - z = 3
A. when x =
, y = 1, z = -
B. when x =
, y =
, z = -
C. 2 when x = 0, y = 1, z = -1
D. when x =-
, y = 2, z =
Solve the problem.In 1985, John invested $34,000 in the stock market. By 1995 his investment had grown to $38,300. If the market continues to grow at the same rate, how much will be in his account in 1998? Give your answer to the nearest dollar.
A. $38,300 B. $39,590 C. $35,291 D. $42,600