document.write( "Question 124476: 96) Ventura Capital. Henry invested $ 12,000 in a new restaurant. When the restaurant was sold two years later, he received $ 27,000. Find his average annual return by solving the equation 12,000(1 + r)^2= 27,000.T hanks \n" ); document.write( "

Algebra.Com's Answer #91224 by checkley71(8403) $\"\"$ $\"About$

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12,000(1+R)^2=27,000
\n" ); document.write( "12,000(1+2R+R^2)=27,000
\n" ); document.write( "12,000+24,000R+12,000R^2=27,000
\n" ); document.write( "12,000R^2+24,000R+12,000-27,000=0
\n" ); document.write( "12,000R^2+24,000R-15,000=0
\n" ); document.write( "3,000(4R^2+8R-5)=0
\n" ); document.write( "3,000(2R-1)(2R+5)=0
\n" ); document.write( "2R-1=0
\n" ); document.write( "2R=1
\n" ); document.write( "R=1/2 OR 50% ANSWER.
\n" ); document.write( "PROOF:
\n" ); document.write( "12,000(1+.5)^2=27,000
\n" ); document.write( "12,000(1.5)^2=27,000
\n" ); document.write( "12,000*2.25=27,000
\n" ); document.write( "27,000=27,000 \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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