document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975078>Question 975078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a mother earned 10000.00 from royalties on her cookbook. she aside 20% of this for a down payment on a new home. the balance will be used for her sons future education. she invests a portion of the money in a bank certificate of deposit that earns 4% and the remainder in a savings bond that earns 7%. if the total interest earned after one year is 480.00, how much money was invested at each rate?<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 #596893 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=596893\">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( "The first thing you need to do is to calculate how much money was invested at interest.\r<BR>\n" );
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document.write( "Calculate 20% of $10,000.  Then subtract that amount from $10,000 to determine the amount that was invested at interest for the son's education fund.  I'll let you do that arithmetic.  In the meantime, until you calculate the amount, we can call the amount invested <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE P\"> meaning the present value of the investment.\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> represent the portion of the amount <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE P\"> that was invested at 7%.  Then the portion that was invested at 4% must be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (P\ -\ x)\">.\r<BR>\n" );
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document.write( "The actual amount of interest earned on <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> dollars invested at 7% simple interest is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 0.07x\">.  The actual amount of interest earned on <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE P\ -\ x\"> dollars invested at 4% simple interest is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 0.04(P\ -\ x)\">. These two amounts add up to $480.00, hence:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 0.07x\ +\ 0.04(P\ -\ x)\ =\ 480\">\r<BR>\n" );
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document.write( "Once you have calculated the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE P\">, substitute that amount into the equation and solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\">, which will be the amount invested at 7%.  Subtract that amount from <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE P\"> which will be the amount invested at 4%.\r<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\r<BR>\n" );
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