Solve the problem.Assume that the price per unit d of a certain item to the consumer is given by the equation  where x is the number of units in demand. The price per unit from the supplier is given by the equation  where x is the number of units supplied. Find the equilibrium price and the equilibrium quantity.

A. equilibrium price: $35 per unit; equilibrium quantity: 50 units
B. equilibrium price: $50 per unit; equilibrium quantity: 30 units
C. equilibrium price: $20 per unit; equilibrium quantity: 50 units
D. equilibrium price: $30 per unit; equilibrium quantity: 50 units


Answer: D

Mathematics

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Solve the problem.Allied Industries pays at the time-and-a-half rate for all time worked over 8 hours in any one day no matter how many hours are worked in a week. Ken Warner, an employee of Allied Industries, makes $12.30 an hour as his regular rate of pay. Last week he worked 12 hours on Monday, 5.5 hours on Thursday, and 8.75 hours on Friday. What were his gross earnings for the week?

A. $352.09 B. $317.07 C. $365.64 D. $360.80

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Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.

A. 729 B. 621 C. 823.5 D. 594

Mathematics

Find the particular solution to the difference equation.

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Determine whether the sequence is arithmetic. If so, find the common difference.

5, 25, 125, 625, 3125 a. –5 b. 5 c. 5n – 5n – 1 d. Sequence not arithmetic

Mathematics