Two companies company a and company b offer the same starting salary of $20,000 per year. company a gives a raise of $1000 each year. company b gives a raise of 4% each year.

a) write rules a and b in the nth year at companies a and b respectively.

b) for each company find the sum of wages earned during the first 20 years of employment

c) using the graphing calculator to find after how many years the total amount earned a company b is greater that the total amount of earned at company a?

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

step-by-step explanation:

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