You just signed a contract fora new job. The salary for the first year is $30,000 and there is to be a percent increase in your salary each year. The algebraic expression 30 , 000 x n − 30 , 000 x − 1 describes your total salary over n years, where x is the sum of 1 and the yearly percent increase, expressed as a decimal. Use this information to solve Exercises 47-48. 48. a. Use the expression given on the previous page and write a quotient of polynomials that describes your total salary over four years. b. Simplify the expression in part (a) by performing the division. c. Suppose you are to receive an increase of 8 % per year. Thus, x is the sum of 1 and 0.08, or 1.08. Substitute 1.08 for x in the expression in part (a) as well as in the simplified form of the expression in part (b). Evaluate each expression. What is your total salary over the four-year period?
You just signed a contract fora new job. The salary for the first year is $30,000 and there is to be a percent increase in your salary each year. The algebraic expression 30 , 000 x n − 30 , 000 x − 1 describes your total salary over n years, where x is the sum of 1 and the yearly percent increase, expressed as a decimal. Use this information to solve Exercises 47-48. 48. a. Use the expression given on the previous page and write a quotient of polynomials that describes your total salary over four years. b. Simplify the expression in part (a) by performing the division. c. Suppose you are to receive an increase of 8 % per year. Thus, x is the sum of 1 and 0.08, or 1.08. Substitute 1.08 for x in the expression in part (a) as well as in the simplified form of the expression in part (b). Evaluate each expression. What is your total salary over the four-year period?
Solution Summary: The author explains how to determine the quotient of polynomials that describes a person's total salary over four years.
You just signed a contract fora new job. The salary for the first year is $30,000 and there is to be a percent increase in your salary each year. The algebraic expression
30
,
000
x
n
−
30
,
000
x
−
1
describes your total salary over n years, where x is the sum of 1 and the yearly percent increase, expressed as a decimal. Use this information to solve Exercises 47-48.
48.
a. Use the expression given on the previous page and write a quotient of polynomials that describes your total salary over four years.
b. Simplify the expression in part (a) by performing the division.
c. Suppose you are to receive an increase of
8
%
per year. Thus,
x is the sum of 1 and 0.08, or 1.08. Substitute 1.08 for
x in the expression in part (a) as well as in the simplified form of the expression in part (b). Evaluate each expression. What is your total salary over the four-year period?
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