SOLUTION: Suppose that the Happy Tail veterinary clinic earns $200,000 in profits this year. If its profits grow at 25% per year, how many years will pass before its annual profit is $1 mill

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Suppose that the Happy Tail veterinary clinic earns $200,000 in profits this year. If its profits grow at 25% per year, how many years will pass before its annual profit is $1 mill      Log On


   



Question 1045935: Suppose that the Happy Tail veterinary clinic earns $200,000 in profits this year. If its profits grow at 25% per year, how many years will pass before its annual profit is $1 million?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is:
+10%5E6+=+2%2A10%5E5%2A%28+1+%2B+.25+%29%5Et+
where +t+ = time in years
+.5%2A10+=+1.25%5Et+
+5+=+1.25%5Et+
Take the log of both sides
+.69897+=+t%2A.09691+
+t+=+7.21256+
7 yrs will pass before annual profit is $1 million
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check:
+10%5E6+=+2%2A10%5E5%2A%28+1+%2B+.25+%29%5Et+
+10%5E6+%2F10%5E5+=+2%2A1.25%5E7.21256+
+10%2F2+=+1.25%5E7.21256+
+5+=+1.25%5E7.21256+
+5+=+4.9999917+
close enough