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Question 1187467: You are considering two jobs offers. Company A will start you at $ 120,000 annually and guarantee a raise of $ 24,000 per year. Company B will start you at a higher salary. $ 168,000 annually, but will only guarantee a raise of $ 12,000 per year. Find the total salary that each company will pay you over ten-year period. Which company pays the greater total amount? Graph the data.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! total salary is finding the sum of an arithmetic series where S=(n/2)(2a+(n-1)d)), a is $120000 for A and d is $24000. Sum is (5)(240000+(9*24000))=$2,280,000 .
there is always brute force
year 1=120000 (120 thousands)
144
168
192
216
240
264
288
312
336
=$2280 thousands
y=120000+24000x or 120+24x for ease of graphing
the seance is a=168, n=10, d=12 for S=(5)(336+9*12))=$2220
Company A pays more.
y=168+12x
Can look at intersection point at what seems to be x=4
set the two equal so 120+24x=168+12x
12x=48
x=4 years. This is often asked for but not in this problem.
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