Exam 2: Applications and More Algebra

The solution of 5x >2x is

a = 6; r = -5

Simplify: |(-3 - 7)/ 2|

An appliance company makes coffee makers for which the variable cost per unit is $12 and the fixed cost is $92,000.What should the selling price be for the company to earn a profit of $88,000 on 10,000 units?

The owner of a 20-room motel,which is 70% occupied,decides to charge $8 more than the single occupancy rate if two or more people occupy the room.This situation occurs in 75% of the occupied rooms,on the average.What should the two rates be so that the owner receives $160,000 in annual income to cover expenses and yield a reasonable profit? (Assume that a year has 365 days and give your answer to the nearest dollar.)

Ohm's Law in electrical theory states that V = IR,where R is the resistance (in ohms)of an object,V is the potential difference (in volts)across the object,and I is the current (in amperes)that flows through it.If the voltage is 220 volts,what values for the current will result in a resistance that is less than 20 ohms?

A county decides to retire some of its road construction bonds in 2 years.At that time $4,840,000 will be required.If it presently sets aside $4,000,000,at what annual rate of interest,compounded annually,will this money need to earn in order for its future value to be sufficient to retire the bonds?

Solve: = 7

Suppose consumers purchase q units of a manufacturer's product when the price per unit (in dollars)is If no more than 75 units can be sold,then the number of units that must be sold in order that sales revenue be $1000 is

Express the sum in summation notation. 7 + 11 + 15 + 19 + 23 + 27 + ...+ 67

Write the income range for line 3 as an inequality.Write the inequality that represents the tax owed.

A rectangular deck attached to a ski lodge is 22 m long and 10 m wide.Planter boxes will be added along the 3 open sides,which include 1 long side and both short sides.How wide can the boxes be to leave 180 sq m of deck space?

Evaluate:

The solution of ≤ 2 - 7x is

A computer keyboard retails for $48.54,which includes a markup of 40% for the retailer and a markup of 20% for the wholesaler.What did the keyboard cost the wholesaler?

The "current ratio" of a company is the ratio of its current assets to its current liabilities.Suppose a company has current assets of $250,000 and current liabilities of $100,000.If the company wants to make a short-term loan and have their current ratio no less than 2.2,what is the maximum amount it can borrow? (Note: The funds they receive are considered as current assets and the loan as a current liability.)

A manufacturer has 4000 units of product x in stock and is now selling it at $10 per unit.Next month the unit price will increase by $2.The manufacturer wants the total revenue received from the sale of the 4000 units to be no less than $45,000.What is the maximum number of units that can be sold this month?

Solve: 2(x - 8)+ 5 ≤ -4

The owners of a bakery need to borrow money to purchase a new oven.The bakery has current assets of $52,000 and current liabilities of $15,000.How much can they borrow if they want their current ratio of assets to liabilities to be no less than 2.6? (Note: The funds they receive are considered as current assets and the loan as a current liability.)

An electric utility company is going to locate its new power plant along a straight road connecting the towns of Exton and Whyton,which are 10 miles apart.For political reasons,the utility company will buy coal from both towns.The price of coal per ton from Exton is $72.65 plus $0.45 per mile for delivery.The price per ton from Whyton is $72.25 plus $0.25 per mile for delivery.How far (in miles)from Exton should the plant be located if the price of coal per ton delivered from Exton is to be equal to that from Whyton? (Hint: If d is the distance of the plant from Exton,then 10 - d is the distance from Whyton.)