Exam 2: Applications and More Algebra

Solve: 7 - 2x < 9

The CEO of an office equipment company decides to borrow money to expand their manufacturing facility.The company has current assets of $4,000,000 and current liabilities of $640,000.How much can they borrow if they want their current ratio of assets to liabilities to be no less than 3? (Note: (1)The current ratio is the ratio of a business' current assets to its current liabilities; (2)The funds they receive are considered as current assets and the loan as a current liability.)

A sociologist is hired by a city to study different programs that aid the education of preschool-age children.The sociologist estimates that n years after the beginning of a particular program,p thousand preschoolers will be enrolled,where p = n(12 - n).How many years after the start of the program will 25,000 preschoolers first be enrolled?

Two resistors and are connected in parallel in an electrical circuit.The net resistance R is given by If = 20 ohms,what values of will create a net resistance of less than 10 ohms?

Solve: Six plus three times x is a number 12 units from zero.

To train for a race,Will begins by jogging 11 minutes one day per week.He increases his jogging time by 6 minutes each week.Write the general term of this arithmetic sequence,and find how many whole weeks it takes for him to reach a jogging time of one hour.

The owner of a floral shop wants to take out a loan to purchase a new delivery truck.The company has current assets of $121,600 and current liabilities of $28,000.How much can he borrow if he wants his current ratio of assets to liabilities to be no less than 2.8? (Note: The funds they receive are considered as current assets and the loan as a current liability.)

The relationship between Fahrenheit and Celsius temperature is given by the formula = .Normal body temperature is F ≥ 98.6.Find the corresponding Celsius temperature.

a = 12,24,36,48;

a = 21; d = -5

Approximately 21% of the air we breathe is oxygen.To the nearest milliliter,how many milliliters of air contain 1 milliliter of oxygen?

Simplify: |-8|

The solution of ≤ 5 is

Three times x plus five is a number that is more than 4 units from zero.What are the possible values for x?

A company produces a product for which the variable cost per unit is $3.50 and fixed cost is $20,000 per year.Next year,the company wants the total cost to be $48,000.How many units of the product should be made next year?

A company manufactures water filters that cost $15 for labor and material,plus $50,000 in fixed costs.If they sell the water filter for $20,how many must be sold to make a profit?

For safety reasons,the arrival time of commuter train A at a station must be at least 6 minutes different from the 6:00 p.m.arrival of train B.

A retired couple has $192,000 to invest.A safe investment yields 9.5% per year,but a riskier investment yields 12.5% per year.How much should they invest at each rate to earn $21,000 per year?

A woman has $90,000 to invest in two mutual funds.One fund is low-risk and has an annual yield of 10%.The second fund is medium-risk and has a 15% annual yield.How much should she invest in each fund if she would like to earn $10,000 per year from her investments?

A woodworker must decide whether to buy or rent a table saw.If he rents the saw,the rental fee is $30 per weekend,and the charge for delivery and pickup is $15.If he were to buy the saw,the purchase price is $960 plus $5 each weekend for new saw blades and maintenance.After how many weekends of use would it cost less to buy the saw than rent it?