Exam 2: Applications and More Algebra

Keyana takes a job with a starting salary of $31,000 for the first year with an annual increase of 4.5% beginning in the second year.What is Keyana's salary,to the nearest dollar,at the end of the seventh year?

If x lies in the interval (-2,8),then

The sum of a number and its square is 12.Find the number.

The owner of an 85 unit apartment building must raise the rent to cover an increase in property taxes of $9000 per year.At the current rent of $600 per month,each $30 per month increase will create one vacancy with no possibility of filling it.By how much should he raise the rent for these apartments?

Write the income range for line 2 as an inequality.Write the inequality that represents the tax owed.

A number is always at least as large as the negative of its absolute value and at most as large as its absolute value.

If x ≤ -2 or x ≥ 8,then

Give the bounds of summation and the index of summation for

a = -16; d = 2

= 4, = 12, = + 8;

Solve: < 2

Solve: > x + 2

Evaluate:

A company makes car stereos.The manufacturing cost for each stereo is $45.The company has fixed costs of $4150 per month.How many stereos can it make next month for a total cost of $10,000?

Evaluate:

Solve: |x| < 6

Solve: = 4

a = 12; d = -3

Express the sum in summation notation. 4 + 6 + 8 + 10 + 12 + 14 + 16

A company's revenue from the sale of interior doors is $98 per door.The cost of producing the doors is $48 per door with $12,000 in fixed costs.How many doors must the company sell in order to break even?