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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?

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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]

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