Exam 2: Applications and More Algebra

Solve: Two times x plus nine is a number 13 units from zero.

The product of two consecutive integers is 42.Find the integers.

Give the bounds of summation and the index of summation for

Determine an interval for that satisfies all of these inequalities.

Evaluate:

A company produces a product at a cost of $6 per unit.If fixed costs are $20,000 and each unit sells at $8,at least how many units must be sold in order to earn a profit?

Evaluate:

The solution of ≥ 2 is

Solve: > -2

Evaluate:

A homeowner needs to make a cover for a circular pool with a diameter of 18 feet.How much cover fabric should be ordered if the cover must extend 2 feet beyond the edge of the pool? (Hint: The area A of a circle is ,where r is the radius.Assume π = 3.14,and round to the nearest square foot.)

Solve: 5x - 2 ≥ 14 - 3x

Solve: ≤ 6

An economics instructor told his class that the demand equation for a certain product is p = 400 - and its supply equation is p = 20q + 100.If the 400 - is set equal to the 20q + 100,then the positive solution to the resulting equation gives the "equilibrium quantity." The instructor asked his class to find this quantity.What answer should the class give?

Evaluate:

Evaluate:

a = 4; d = 5

A painting contractor completed two jobs at $480 each.For one of them,this represented a 20% loss; for the other it was a 20% profit (based on his cost for each job).How much did he make or lose on the two jobs?

Evaluate:

Solve: ≤ -