Exam 2: Applications and More Algebra

Solve: z - 2 ≥

Solve: 4x - 3 < -2(1 - x)

Solve: > 5

A homeowner must decide whether to buy or rent a garden rototiller.If she rents the machine,the rental fee is $25 per day,and the daily cost to use it is $5 for gas.If she were to buy the machine,the purchase price is $650,and the daily cost is $7 for gas,oil,and maintenance.On which day of use would the rental costs become greater than the ownership costs?

A company is establishing a dental plan for its employees.Under this plan the company will pay the first $20 of an employee's dental-care expenses and 80% of all additional dental-care expenses up to a maximum total benefit payment of $700.For an employee,find the total dental-care expenses covered by this program.

A person deposits $50 in a bank and in two years it increases to $56.18.If the bank compounds interest annually,what annual rate of interest does it pay?

Express the sum in summation notation. 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + ...+ 37

A monthly real estate guide is published for $1.40 per issue.It is sold to real estate agents for $1.25 each.The advertising revenue is 15% of the amount received for all guides sold beyond 2,000.Find the fewest number of real estate guides that must be sold to break even.

Develop an interval for each of the other variables.

Solve each inequality for .

Ten plus three times x is a number that is at most 11 units from 0.What are the possible values for x?

Evaluate:

A flower border of uniform width is to be added to a rectangular lawn,30 feet by 40 feet.How wide should the border be so that 600 sq ft of lawn remains?

Evaluate:

Write the income range for line 5 as an inequality.Write the inequality that represents the tax owed.

A newspaper publisher finds that the cost of printing and distributing each copy of its morning paper is $0.22.The revenue from subscribers is $0.20 per copy.The advertising revenue is 12% of the revenue received from subscribers for all copies sold beyond 15,000.Find the smallest number of copies which must be sold to break even.

A 100 unit high-rise apartment building which has no vacancy has come under new management.The new management company wants to receive $101,500 in monthly rent.They estimate that for each $50 per month increase over the current $950 per month rent,there will be three vacancies with no possibility of filling them.What rent should they charge for each apartment?

The IQ (intelligence quotient)of a person is found by dividing his or her mental age by his or her chronological age and then multiplying that result by 100.For example,a person with a a mental age of 11 and a chronological age of 10 has an IQ of ∙ 100 = 110.Find the mental age of a person with a chronological age of 12 and an IQ of 125.

A metallurgist is preparing 63 kg of an alloy.It must consist of 3 parts aluminum and 4 parts copper.How much of each metal should be used?

A bicycle costs a wholesaler $63 and the wholesale selling price includes a markup of 25% of the wholesale selling price.What should be the retailer's selling price in order to make a profit of 30%