document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194251>Question 194251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Henry invested $12,000 in a new restaurant. When the restaurant was sold 2 years later, he received $27,000. Find his average annual returning by solving the equation 12,000(1+r)^2=27,000. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145788 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=145788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12,000(1+r)^2=27,000<BR>\n" );
document.write( "12,000(1+2r+r^2)=27,000<BR>\n" );
document.write( "12,000+24,000r+12,000r=27,000<BR>\n" );
document.write( "12,000r^2+24,000r+12,000-27,000=0<BR>\n" );
document.write( "12,000r^2+24,000r-15,000=0<BR>\n" );
document.write( "3,000(4r^2+8r-5)=0<BR>\n" );
document.write( "3,000(2r+5)(2r-1)=0<BR>\n" );
document.write( "2r-1=0<BR>\n" );
document.write( "2r=1<BR>\n" );
document.write( "r=1/2<BR>\n" );
document.write( "r=.5 or 50% is the average annual return.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "12,000(1+.5)^2=27,000<BR>\n" );
document.write( "12,000(1.5)^2=27,000<BR>\n" );
document.write( "12,000*2.25=27,000<BR>\n" );
document.write( "27,000=27,000<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );