Exam 2: Applications and More Algebra

A theater has 24 rows with 30 seats in the first row,33 in the second row,36 in the third row,and so forth.How many seats are in the theater?

Give the bounds of summation and the index of summation for

( )= 7( );

A certain machine can perform 34 chemical analyses per day,but a lab technician can perform only 7.Suppose a laboratory must make 110 analyses tomorrow and it has only two machines.How many technicians will be needed to complete the job?

Express the sum in summation notation. 1 + 8 + 27 + 64 + 125 + 216

The solution of ≤ -2 is

A homeowner will need $37,632 in 2 years to pay off a balloon mortgage on her house,but she has only saved $30,000 so far.At what annual interest rate,compounded annually,should she invest her savings in order to pay off her mortgage in 2 years?

Evaluate:

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

The population of a town is increasing by 400 inhabitants each year.If its population at the beginning of 1990 was 22,289,what was its population at the beginning of 1997?

a = 6; r =

The solution of ≥ - 5 is

Solve: Three times x plus four is a number -4 units from zero.

A pet food company needs to calculate how much to charge for a bag of rabbit food that costs $10 to produce.The fixed costs involved in production are $15,000.They want to start making a profit after they have sold 4,000 bags of rabbit food.What is the least amount they can charge to make this goal?

The solution of -2(x - 3)< x is

The "current ratio" of a company is the value of its current assets divided by its current liabilities.A company has a current ratio of 2.5 and current liabilities of $80,000.what are its current assets?

Simplify: |3 - 8| - |8 - 3|

A baker must prepare 6 cups of pie filling.The recipe calls for cup of sugar for each 4 cups of fruit.How much of each ingredient should be used?

( -9)and (k + 3)(k - 3)

The absolute value of the difference of two numbers is equal to the absolute value of the difference of the two numbers in reverse order.