document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199909>Question 199909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Venture capital. Henry invested $12,000 in a new<BR>\n" );
document.write( "restaurant. When the restaurant was sold two years<BR>\n" );
document.write( "later, he received $27,000. Find his average annual<BR>\n" );
document.write( "return by solving the equation 12,000(1 + r)^2=<BR>\n" );
document.write( "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 #150337 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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/cgi-bin/show-face.mpl?user=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am assumeing that \"r\" is the average annual revenue, so I will solve for \"r\":<BR>\n" );
document.write( "12,000(1 + r)^2=27,000<BR>\n" );
document.write( "12,000/12,000(1+r)^2=27,000/12,000 [Isolate the r-variable]<BR>\n" );
document.write( "(1 + r)^2=2.25<BR>\n" );
document.write( "(sqrt(1+r)^2=sqrt(2.25)<BR>\n" );
document.write( "1+r=1.5<BR>\n" );
document.write( "r=1.5-1<BR>\n" );
document.write( "r=0.5<BR>\n" );
document.write( "Check by plugging 0.5 back into the original equation and solve. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );