document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167134>Question 1167134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	<BR>\n" );
document.write( "A mother wants to invest ​$9,000 for her​ son's future education. She invests a portion of the money in a bank certificate of deposit​ (CD account) which earns 4​% simple interest and the remainder in a savings bond that earns 5​% simple interest. If the total interest earned after one year is $ 405​,how much money was invested in each​ account?\r<BR>\n" );
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document.write( "The amount of money that was invested in the CD account is?\r<BR>\n" );
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document.write( "The amount of money that was invested in the savings bond is?<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 #791721 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=791721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Algebraically, 4% of amount x, plus 5% of amount (9000-x), is 405:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.04%28x%29%2B.05%289000-x%29+=+405 ALIGN=MIDDLE  ALT=\".04%28x%29%2B.05%289000-x%29+=+405\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve using basic algebra.<br><BR>\n" );
document.write( "A quick non-algebraic path to the answer is to calculate that $405 interest on $9000 is 4.5%; since that is exactly halfway between 4% and 5%, the money must have been invested half at each rate.<br><BR>\n" );
document.write( "ANSWER: $4500 at each rate<br><BR>\n" );
document.write( "CHECK: .04(4500)+.05(4500) = 180+225 = 405<br><BR>\n" );
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