document.write( "Question 175604: Please help.
\n" );
document.write( "Venture capital. Henry invested $12,000 in a new restaurant.When the restaurant was sold two years later, he recieved $27,000. Find his average annual return by solving the equation 12,000(1+r)^2=27,000. \n" );
document.write( "
Algebra.Com's Answer #130679 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! 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+5)(2r-1)=0 \n" ); document.write( "2R-1=0 \n" ); document.write( "2R=1 \n" ); document.write( "R=1/2=.5 OR 50%. \n" ); document.write( "pROOF: \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 \n" ); document.write( " \n" ); document.write( " |