SOLUTION: Henry invested $12,000 in a new restarunt. When the restarunt was sold two years later, he recieved $27,000. Find his average annual return by solving the equation: 12,000(l+r)^2=2

Algebra ->  Test -> SOLUTION: Henry invested $12,000 in a new restarunt. When the restarunt was sold two years later, he recieved $27,000. Find his average annual return by solving the equation: 12,000(l+r)^2=2      Log On


   



Question 163881This question is from textbook
: Henry invested $12,000 in a new restarunt. When the restarunt was sold two years later, he recieved $27,000. Find his average annual return by solving the equation: 12,000(l+r)^2=27,000 This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
12000%2A%28l%2Br%29%5E2+=+27000
12%2A10%5E3%2A%281%2Br%29%5E2+=+27%2A10%5E3
take the log to the base 10 of both sides
log%2812%29+%2B+3+%2B+log%28%281+%2B+r%29%5E2%29+=+log%2827%29+%2B+3
1.079+%2B+3+%2B+2%2Alog%281+%2B+r%29+=+1.431+%2B+3
Subtract 4.079 from both sides
2%2Alog%281%2Br%29+=+.352
log%281%2Br%29+=+.176
This is the same as saying
1+%2B+r+=+10%5E.176
1+%2B+r+=+1.500
r+=+.5
This says his average annual rate of return was 50%