document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908557>Question 908557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two investments totaling $36000 produce an annual income of $2715. one investment yields 6% per year, while the other yields 9% per year. How much is invested at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551107 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Total amount of money invested: $36000<BR>\n" );
document.write( "x+y=36000,<BR>\n" );
document.write( "Total yearly interest for the two accounts is: $2715<BR>\n" );
document.write( "0.06*x+0.09*y=2715<BR>\n" );
document.write( "x=36000-y<BR>\n" );
document.write( "Substitute for x<BR>\n" );
document.write( "0.06*(36000-y)+0.09*y=2715<BR>\n" );
document.write( "Multiply out<BR>\n" );
document.write( "2160-0.06*y+0.09*y=2715<BR>\n" );
document.write( "Combine like terms.<BR>\n" );
document.write( "0.03*y=555<BR>\n" );
document.write( "Isolate y<BR>\n" );
document.write( "y=$18500.00 at 9%<BR>\n" );
document.write( "x=36000-y<BR>\n" );
document.write( "Calculate x<BR>\n" );
document.write( "x=$17500.00 at 6%<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "0.06*17500+0.09*18500=2715<BR>\n" );
document.write( "1050+1665=2715<BR>\n" );
document.write( "2715=2715<BR>\n" );
document.write( "If this statement is TRUE and neither x nor y  is negative then all is well<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );