document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=662023>Question 662023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have already invested $550 in a stock with an annual return of 11%. How much of an additional $900 should be invested at 12% and how much at 6% so that the total return on the entire $1,450 is 9%? (Round each answer to the nearest cent.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #411892 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=411892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 550(.11) = 60.50 return from 11%<BR>\n" );
document.write( "1450(.09) = 130.5 total ROI<BR>\n" );
document.write( "130.50 - 60.50 = 70 return needed<BR>\n" );
document.write( ".12x + .06x = 70<BR>\n" );
document.write( "x = $ at 12%<BR>\n" );
document.write( "y = % at 6%<BR>\n" );
document.write( "x+y = 900; so x = 900 - y<BR>\n" );
document.write( ".12x + .06y = 70<BR>\n" );
document.write( ".12(900-y) + .06y = 70<BR>\n" );
document.write( "108 - .12y + .06y = 70<BR>\n" );
document.write( "108 - .06y = 70<BR>\n" );
document.write( "108 - 70 = .06y<BR>\n" );
document.write( "38 = .06y<BR>\n" );
document.write( "y = 633.33<BR>\n" );
document.write( "x = 900 - 633.33 = 266.67\r<BR>\n" );
document.write( "\n" );
document.write( "266.67 at 12%<BR>\n" );
document.write( "633.33 at 6%<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );