document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=928351>Question 928351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A total of $10,000 is invested in two funds paying 7% and 10% simple interest. (There is more risk in the 10% fund.) The combined annual interest for the two funds is $805. The system of equations that represents this situation is\r<BR>\n" );
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document.write( "x + y = 10,000<BR>\n" );
document.write( "0.07x + 0.10y = 805\r<BR>\n" );
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document.write( "where x represents the amount invested in the 7% fund and y represents the amount invested in the 10% fund. Solve this system to determine how much of the $10,000 is invested at each rate.\r<BR>\n" );
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document.write( "7% Fund= $<BR>\n" );
document.write( "10% Fund=$\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563590 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=563590\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Total amount of money invested: $10000<BR>\n" );
document.write( "x+y=10000,<BR>\n" );
document.write( "Total yearly interest for the two accounts is: $805<BR>\n" );
document.write( "0.07*x+0.10*y=805<BR>\n" );
document.write( "x=10000-y<BR>\n" );
document.write( "Substitute for x<BR>\n" );
document.write( "0.07*(10000-y)+0.1*y=805<BR>\n" );
document.write( "Multiply out<BR>\n" );
document.write( "700-0.07*y+0.1*y=805<BR>\n" );
document.write( "Combine like terms.<BR>\n" );
document.write( "0.03*y=105<BR>\n" );
document.write( "Isolate y<BR>\n" );
document.write( "y=$    3500.00 at 10% earns $350 interest<BR>\n" );
document.write( "x=10000-y<BR>\n" );
document.write( "Calculate x<BR>\n" );
document.write( "x=$    6500.00 at 7% earns $455 interest<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "0.07*6500+0.1*3500=805<BR>\n" );
document.write( "455+350=805<BR>\n" );
document.write( "805=805<BR>\n" );
document.write( "If 805=805 is TRUE and neither x nor y  is negative then all is well<BR>\n" );
document.write( "codeint1<BR>\n" );
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