document.write( "Question 163881This question is from textbook
\n" ); document.write( ": 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 \n" ); document.write( "

Algebra.Com's Answer #120729 by josmiceli(19441) $\"\"$ $\"About$

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

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