document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133548>Question 133548</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073268623/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> In section titled: Solving Quadratic Equations by Factoring\r<BR>\n" );
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document.write( "96. Venture 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\r<BR>\n" );
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document.write( "Thanks for the help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97746 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=97746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12000(1+R)^2=27000<BR>\n" );
document.write( "(1+R)^2=27000/12000<BR>\n" );
document.write( "(1+R)^2=2.25<BR>\n" );
document.write( "1+2R+R^2=2.25<BR>\n" );
document.write( "R^2+2R+1-2.25=0<BR>\n" );
document.write( "R^2+2R-1.25=0<BR>\n" );
document.write( "(R-.5)(R+2.5)=0<BR>\n" );
document.write( "5-.5=0<BR>\n" );
document.write( "R=.5 OR 50% IS THE ANNUAL RETURN.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "12000(1+.5)^2=27000<BR>\n" );
document.write( "12000(1.5)^2=27000<BR>\n" );
document.write( "12000*2.25=27000<BR>\n" );
document.write( "27000=27000<BR>\n" );
document.write( " </SPAN>\n" );
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