document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120427>Question 1120427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maria was reviewing the investment results of her retirement savings account. The account balance at the start of the year was $6700. The account earned $619. Her investments were in a bond fund which had a return of 5%, a balanced fund which had a return of 8%, and an aggressive fund which had a return of 12%. She had $300 fewer in the aggressive fund than she did in the bond and balanced funds combined. How much did she have invested in the aggressive fund? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736109 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=736109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Bonds + Balanced + Aggressive = 6700.\r<BR>\n" );
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document.write( "Aggressive + 300 = Bonds + Balanced\r<BR>\n" );
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document.write( "So\r<BR>\n" );
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document.write( "2(Aggressive) + 300 = 6700\r<BR>\n" );
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document.write( "Aggressive = 3200\r<BR>\n" );
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document.write( "Since the interest rate on the Aggressive account was 12%, the amount of interest paid on the Aggressive account must be 0.12 X $3200 = $384\r<BR>\n" );
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document.write( "That means the amount paid on the other two accounts was $619 - $384 = $235.\r<BR>\n" );
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document.write( "Since the amount in the Aggressive account was $3200, the amount in the combination of the other two accounts must have been $6700 - $3200 = $3500.\r<BR>\n" );
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document.write( "So Bonds + Balanced = 3500.  Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the amount invested in the Balanced account, then the amount invested in the Bonds account must have been <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3500\ -\ x\">.  Then the amount of interest earned on the Balanced account must have been <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 0.08x\"> and the amount of interest earned on the Bonds account must have been <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 0.05(3500\ -\ x)\">.  The sum of these two amounts is, as previously demonstrated, $235.  So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 0.08x\ +\ 0.05(3500\ -\ x)\ =\ 235\">\r<BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> and then calculate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3500\ -\ x\"><BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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