SOLUTION: A company offers a starting salary of $38,000 with raises of $2,000 per year. Find the total salary over a ten-year period.

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Question 689520: A company offers a starting salary of $38,000 with raises of $2,000 per year. Find the total salary over a ten-year period.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+=+38000+
Let +r+=+2000+
Let +S+ = total salary
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The first year is +S+=+s+%2B+r%2A0+
The second year is +S+=+s+%2B+r%2A1+
The third year is +S+=+s+%2B++r%2A2+
Adding up the salary for years 1 through 10
+S+=+10s+%2B+r%2A%28+0+%2B+1+%2B+2+%2B+3+%2B+4+%2B+5+%2B+6+%2B+7+%2B+8+%2B+9+%29+
(1) +S+=+10s+%2B+r%2A%281%2F2%29%2A%289%2A10%29+
and
+S+=+10%2A38000+%2B+2000%2A%281%2F2%29%2A%289%2A10%29+
+S+=+380000+%2B+90000+
+S+=+470000+
The total salary over a ten year period is $470,000
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Formula (1) seems to work
The total salary over a thousand year period would be:
(1) +S+=+1000s+%2B+r%2A%281%2F2%29%2A%28+999%2A1000+%29+