Solve.The supply function for a product is given by p = q2 + 3q + 125 and the demand is given by  where p is the price in dollars and q is the number of hundreds of units. Find the price that gives market equilibrium and the equilibrium quantity.

A. $10; 255 units
B. $255; 1000 units
C. $100; 555 units
D. $305; 1200 units


Answer: B

Mathematics

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Solve the problem.A 15-kg mass is attached to a spring that hangs vertically and is stretched 1 m from the equilibrium position of the spring. Assume a linear spring with F(x) = kx. How much work is required to stretch the spring and lower the mass 1 m? Round to four decimal places when appropriate.

A. 220.5 J B. 36.75 J C. 183.75 J D. 367.5 J

Mathematics

Identify the vertices and foci. +  = 1

A. Vertices: (-10, 5), (20, 5); Foci: (-4, 4), (14, 4) B. Vertices: (4, -10), (4, 20); Foci: (-7, 5), (17, 5) C. Vertices: (4, -10), (4, 20); Foci: (4, -4), (4, 14) D. Vertices: (-10, 5), (20, 5); Foci: (4, -7), (4, 17)

Mathematics

Give the coordinates of the points shown on the graph. 

A. E = (-6, -2) , F = (-3, 5) B. E = (-3, -2), F = (5, -2) C. E = (-3, 5), F = (-6, -2) D. E = (5, -3), F = (-2, -6)

Mathematics

Perform the addition or subtraction and give your answer in Hindu-Arabic form.

A. 119 B. 229 C. 219 D. 209

Mathematics