MATH SOLVE

3 months ago

Q:
# Monique is considering job offers from two companies. Company A offered her a starting salary of $52,000 with a $2100 raise at the end of each year. Company B offered her a starting salary of $52,000 with a 3.3% raise at the end of each year. Let f(t) represent Monique's salary at Company A t years after accepting a position at Company A, and let g(t) represent Monique's salary at Company B t years after accepting a position at Company B. What is the ratio of Joni's salary one year compared to her salary in the previous year for Company A?

Accepted Solution

A:

Answer:[tex]\frac{(1.033)^t}{1+0.04(t-1)}[/tex]Step-by-step explanation:Monique's salary t years after accepting a position in company A is given by
f(t) = 52,000 + 2,100*t
Joni's salary t years after accepting a position in company B would be
[tex]g(t) = 52,000*(1.033)^t[/tex]
The ratio of Joni's salary one year compared to her salary in the previous year for Company A would be
[tex]\frac{52,000(1.033)^t}{52,000 + 2,100(t-1)}=\frac{(1.033)^t}{1+0.04(t-1)}[/tex]