Exam 2: Applications and More Algebra

A rectangular plot,4 meters by 8 meters,is to be used for a garden.The owner decides to put a pavement of uniform width inside the entire border so that 12 square meters of the plot is left for flowers.How wide should the pavement be?

Evaluate:

1,5,9,13,17

A biotech company will require $10,112,400 to expand its research facility in 2 years.It has $9,000,000 to invest now for this purpose.At what annual rate of interest,compounded annually,should it invest this amount to be ready for construction in 2 years?

A company manufactures hair dryers.The manufacturing cost is $9 per unit with a fixed cost of $16,000.A hair dryer sells for $15.If the company wants to earn a profit of $50,000,how many dryers must be sold?

Express the sum in summation notation. 3 + + + + + +

A good oiled furniture finish contains two parts boiled linseed oil and one part turpentine.If you need a pint (16 fluid ounces)of this furniture finish,how many fluid ounces of turpentine are needed?

Give the bounds of summation and the index of summation for

Three minus three times x is a number that is more than 6 units from zero.What are the possible values for x?

Six minus four times x is a number that is at most 14 units from zero.What are the possible values for x?

A theater owner charges $3 for each ticket.Currently,only 100 people attend the theater daily.The owner believes that for each $0.10 decrease per ticket,10 more people will attend.If this is true and the capacity of the theater is 200,what should the price of a ticket be if the owner wants to receive $375 daily from ticket sales?

The absolute value of the quotient of two numbers is equal to the quotient of the absolute values of the two numbers.

Solve: + 3 >

Evaluate:

A company will enclose a rectangular area of 12,800 square feet in the rear of its plant.One side will be bounded by the building and the other three sides by fencing.Suppose that 400 feet of fencing will be used and that the side of the building has a length of 100 ft.What will be the dimension (in feet)of the side of the rectangle that is opposite the building?

The sum of two real numbers is 12.The sum of their reciprocals is .Find the two numbers.

One of the most important defoliating insects is the gypsy moth caterpillar,which feeds on foliage of shade,forest,and fruit trees.A homeowner lives in an area in which the gypsy moth has become a problem.She wishes to spray the trees on her property before more defoliation occurs.She needs 128 ounces of a solution made up of 3 parts of insecticide A and 5 parts of insecticide B.The solution is then mixed with water.How many ounces of insecticide A should be used?

Solve: = 10