Exam 2: Applications and More Algebra

Researchers at a university need a 10,000 square meter rectangular plot on which to grow three hybrids of corn.The plot is to be enclosed by fencing and divided into three equal subplots by a pair of fences both parallel to the same pair of sides of the rectangle.If 600 meters of fencing are to be used for the project,what are the dimensions of the plot?

The number five minus two times x is less than 9 units from zero.What are the possible values for x?

Car rental company A rents a compact car for $32 per day,while rental company B rents an equivalent car for $21 per day plus an initial fee of $55.If a customer wants the cheaper rate,when should he rent from company B?

Write without the absolute-value symbol: |1 - |

Solve: x plus seven is a number 3 units from zero.

A person wishes to deposit a total fo $10,000 in two accounts.The savings account pays yearly interest of 4% and fixed certificates of deposit pay a yearly interest rate of 7%.How much should the person deposit in each account so that he gets a total of $502 interest at the end of the year?

A company produces plastic parts for automobiles.The manufacturing process for one part costs $28 per part for labor and material,plus $36,000 in fixed costs.Industry competition dictates that they can charge no more than $42 for this part.How much should they reduce the material and labor costs to satisfy a company policy of earning a profit after selling 2,000 units?

A bank loaned $3320 to a company for the development of two products.If the loan for product A was $1520 more than the other,how much was loaned for each product?

Rooms in a 130 unit student housing complex are fully rented at $300 per month.The university is raising rates to produce $1920 more in monthly income from these units.Each $10 per month increase will create two vacancies with no possibility of filling them.What should be charged for the new rent?

A car dealer has 20 new automobiles which she purchased for $12,000 each.If she sells 16 of them at a profit of 20%,for how much must she sell the remaining 4 to have an average profit of 18%?

The solution of < 3 is

Solve: -2 ≤ -.6

The solution of = 3 is

Express the sum in summation notation. + + + + + +

Express the sum in summation notation. 10 + 13 + 16 + 19 + 22 + 25 + 28 + 31

A kitchen cabinet maker wants to establish a list price for a standard cabinet so that the selling price gives a trade discount of 10% of the list price.If he makes a markup of 20% of the selling price,and his cost is $144,what list price should he charge?

A chemist must prepare 540 ml of a chemical solution.It is to be made up of 4 parts acid and 5 parts distilled water.How much of each should be used?

Evaluate: