The demand equation for a certain brand of GPS Navigator is x + 3p - 565 = 0, where x is the quantity demanded per week and p is the wholesale unit price in dollars.

The supply equation is x - 16p + 480 = 0, where x is the quantity the supplier will make available in the market when the
wholesale price is p dollars each. Find the equilibrium quantity and the equilibrium price for the GPS Navigators.

a. equilibrium quantity 2,000 units; equilibrium price $55
b. equilibrium quantity 400 units; equilibrium price $55
c. equilibrium quantity 2,000 units; equilibrium price $40
d. equilibrium quantity 400 units; equilibrium price $40


b. equilibrium quantity 400 units; equilibrium price $55

Mathematics

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Convert the equation to the standard form for a hyperbola by completing the square on x and y.x2 - y2 + 6x - 2y + 7 = 0

A. (y + 3) 2 - (x + 1) 2 = 1
B. (x + 3) 2 + (y + 1) 2 = 1
C. (x + 3) 2 - (y + 1) 2 = 1
D.  -  = 1

Mathematics

Find the volume. Use ? ? 3.14. Round to the nearest tenth when necessary.a pyramid of height of 12 m and whose rectangular base measures 9 m by 13 m

A. 468 m3 B. 1404 m3 C. 1469.5 m3 D. 54,756 m3

Mathematics

Simplify the radical. Assume that all variables represent nonnegative real numbers.  

A. c9d5
B. cd
C. c9d10
D. 95

Mathematics

Write the following two statements in symbolic form and determine whether they are logically equivalent. Include a truth table and a few words explaining how the truth table supports your answer.

If Sam bought it at Crown Books, then Sam didn’t pay full price. Sam bought it at Crown Books or Sam paid full price.

Mathematics