SOLUTION: 96. Venture Capital. Henry invested $12,000 in a new restaurant. When the restraint was sold two years later, he received $27,000. Find the average annual return by solving the

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: 96. Venture Capital. Henry invested $12,000 in a new restaurant. When the restraint was sold two years later, he received $27,000. Find the average annual return by solving the       Log On

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Question 57979: 96. Venture Capital. Henry invested $12,000 in a new restaurant. When the restraint was sold two years later, he received $27,000. Find the average annual return by solving the equation 12,000(1 + r)^2 = 27,000.
Answer by hayek(51) About Me  (Show Source):
You can put this solution on YOUR website!
12000%2A%281+%2B+r%29%5E2+=+27000
%281%2Br%29%5E2=27000%2F12000
%281%2Br%29%5E2=27%2F12
Now take the square root of both sides:
%281%2Br%29=sqrt%2827%2F12%29
r=sqrt%2827%2F12%29-1
r=sqrt%28++%28+cross%283%29%2A3%2A3+%29+%2F+%28+cross%283%29%2A2%2A2%29++%29+-1+
r=3%2F2-1
r=1%2F2 or r=50%