SOLUTION: Hi-I'm stumped. A job pays a salary of 30,000the first year. During 23 years the salary increases by 8% each year. What is the total lifetime salary over 24-year period. Th

Algebra ->  Sequences-and-series -> SOLUTION: Hi-I'm stumped. A job pays a salary of 30,000the first year. During 23 years the salary increases by 8% each year. What is the total lifetime salary over 24-year period. Th      Log On


   



Question 771610: Hi-I'm stumped.
A job pays a salary of 30,000the first year.
During 23 years the salary increases by 8% each year.
What is the total lifetime salary over 24-year period.
The lifetime salary is approximately? round off to nearest dollar amount.
Thanks
I got 2,002,943 but that's not correct:(

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
let +y+ = the current year by year salary
Let +x+ = the 1st years salary
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What is wanted is:
+y%5B0%5D+%2B+y%5B1%5D+%2B+y%5B2%5D+. . . up to +y%5B23%5D+
which is the lifetime salary
The sequence looks like
+x%2A%28+1.08+%29%5E0+%2B+x%2A%28+1.08%29%5E1+%2B+x%2A%28+1.08+%29%5E2+. . . +x%2A%28+1.08+%29%5E23+
--------------
The formula for this sum is:
+x%2A%28+1+-+1.08%5E24+%29+%2F+%28+1+-+1.08+%29+
+x+=+30000+
+30000%2A%28+1+-+6.341181+%29+%2F+%28+-+.08+%29+
+30000%2A%28+-5.341181+%2F+-.08+%29+
+30000%2A66.76476+
+2002942.78+
I got your answer.
The method seems right.
???