SOLUTION: Mary has accepted a teaching job that pays ​$25,000 for the first year. According to the​ Teacher's Union, Mary will get guaranteed salary increases of 3% per year. If

Algebra.Com
Question 1096965: Mary has accepted a teaching job that pays ​$25,000 for the first year. According to the​ Teacher's Union, Mary will get guaranteed salary increases of 3% per year. If Mary plans to teach for 27 years, what will be her total salary​ earnings?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Sum of a geometric series with ratio=1.03
S=A(1-r^n)/(1-r). n=27, r=1.03
S=25000(1-(1-0.03^27))/(1-(1.03)); the fraction is 40.709, but round at end
S=$1,017,740.84
Rough check. Without the increase in salary, $25,000 for 27 years is $675,000.

RELATED QUESTIONS

A middle school mathematics teacher accepts a teaching position that pays ​$30,000... (answered by jorel1380,MathTherapy,greenestamps,ikleyn)
Mary invested a total of ​$48,000 in three different bank accounts. One account... (answered by Boreal)
Juanita has ​$24,000 to invest in two accounts that pay simple interest on an... (answered by lwsshak3)
A manufacturer knows that 6​% of the 200 computer monitors it has in stock are... (answered by Boreal)
Mitch and Bill are both age 75. When Mitch was 22 years​ old, he began depositing... (answered by Boreal)
Suppose that you have ​$14 comma 000 in a rather risky investment recommended by... (answered by stanbon)
Suppose that you have ​$14,000 in a rather risky investment recommended by your... (answered by stanbon,ikleyn)
Nathan wants to buy a sweatshirt and is trying to determine the better buy. He has a... (answered by stanbon)
Milena deposited ​$6 comma 000 in a certificate of deposit​ (CD) account that (answered by ikleyn)