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

Chels is a recent business grad and has been offered entry level positions with two firms. Firm A offers a starting salary of 40,000 per year with a 2000 per year increase guaranteed each subsequent year. Firm B offers a starting salary of 38500, with a 5% increase every year after that.

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 6:42pm
no

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 6:46pm
t = 6, LS = 51593, RS = 52000

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

ignore the previous conclusion

## Answer this Question

## Related Questions

- Advanced Functions - Rena has been offered entry-level positions with two firms...
- math - Julia is offered a job selling advertising for two different companies. ...
- algebra - Tom and Jerry were offered similar jobs at competing companies. Sony ...
- Algebra 2 - tom and jerry were offered similar jobs at competing companies. sony...
- Algebra 2 - tom and jerry were offered similar jobs at competing companies. sony...
- Algebra 2 - Sarah has a job that pays $45,500 per year with a guaranteed pay ...
- 12th grade - Firm A offer 40,000 salary with $2,000 increase evey year. FIRM B ...
- Economics - Please help explain A manufacturer of motorcycle batteries has a ...
- Algebra - You are offered the option of choosing a yearly salary of $45,000 or ...
- Algebra - You are offered the option of choosing a yearly salary of $45,000 or ...

More Related Questions