document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908039>Question 908039</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On two investments totaling $8,000, Lydia lost 4% on one and earned 6% on the other. If her net annual receipts were $400, how much was each investment? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550760 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=550760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Total amount of money invested: $8000<BR>\n" );
document.write( "x+y=8000,<BR>\n" );
document.write( "Total yearly interest for the two accounts is: $400<BR>\n" );
document.write( "-0.04*x+0.06*y=400<BR>\n" );
document.write( "x=8000-y<BR>\n" );
document.write( "Substitute for x<BR>\n" );
document.write( "-0.04*(8000-y)+0.06*y=400<BR>\n" );
document.write( "Multiply out<BR>\n" );
document.write( "-320--0.04y+0.06*y=400<BR>\n" );
document.write( "Combine like terms.<BR>\n" );
document.write( "0.1*y=720<BR>\n" );
document.write( "Isolate y<BR>\n" );
document.write( "y=$ 7200.00 at 6%<BR>\n" );
document.write( "x=8000-y<BR>\n" );
document.write( "Calculate x<BR>\n" );
document.write( "x=$  800.00 at -4% at  a loss<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "-0.04*800+0.06*7200=400<BR>\n" );
document.write( "-32+432=400<BR>\n" );
document.write( "400=400<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" );