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November 26, 2014

November 26, 2014

Posted by **Jus** on Monday, May 18, 2009 at 6:27pm.

a) after how many years will Renata earn the same amount at either firm?

b) what other factors might affect Chels's choice, such as opportunities for promotion? Explain how these factors may influence her decision.

So my attempt at question a) is like this:

40,000(2000)^t = A(t) for firm A

38,500(1.05)^t = A(t) for firm B

Is this wrong or right and could you provide me with the correct equation if this is wrong as well?

- Logarithm Function -
**Reiny**, Monday, May 18, 2009 at 6:42pmno

although I would love to have the salary stated by your

a(t) = 40,000(2000)^t

the offer from Firm A is an arithmetic sequence, while Firm B's plan is a geometric sequence

your equation for the second offer is correct

Plan A would be

A(t) = 40000 + 2000t

so you are solving

38000(1.05)^t = 40000 + 2000t

after a few trial and error substitutions I got

t = 7, LS = 54173, RS = 54000

t = 8, RS = 56882, RS = 56000

so between 7 and 8 years time, the two offers would be the same.

- Logarithm Function -
**Reiny**, Monday, May 18, 2009 at 6:46pmt = 6, LS = 51593, RS = 52000

so the salaries are about equal between 6 and 7 years.

ignore the previous conclusion

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