Posted by please help! on Sunday, December 13, 2009 at 10:26pm.
Rena has been offered entrylevel 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 $38 500, with a 5% increase every year after that.
a)After how many years will Rena earn the same amount at each firm?
b) At which firm will Rena earn more after
i) 10 years ii) 20 years

Advanced Functions  Reiny, Sunday, December 13, 2009 at 10:41pm
Firm A's salaries increase linearly, (they form an arithmetic sequence)
Firm B;s salaries increase exponentially, (they form a geometric sequence)
SA = 2000t + 40000, where t is number of years after starting
SB = 38500(1.05)^t
a) you would have to solve
38500(1.05^t = 40000 + 2000t
385(1.05)^t = 400 + 20t
I would just try a few values of t
t Leftside RS
5 491 500
8 569 560
7 542 540
9 597 580
What is your conclusion?
for b) just sub t = 10 and t = 20 into both equations.
Answer This Question
Related Questions
 Logarithm Function  Chels is a recent business grad and has been offered entry ...
 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...
 12th grade  Firm A offer 40,000 salary with $2,000 increase evey year. FIRM B ...
 Precalc  1) Janet is offered a job with a starting salary of $15,000, and a ...
 Math  Suppose you are offered a job with a relatively low starting salary but ...
 PreCalculas help  Suppose you sign a contract for an annual salary of $50,000 ...
 Advanced Algebra  Jim begins a job with a starting salary of 27000 dollars. she...
More Related Questions