document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016109>Question 1016109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this : Moira inherited $15,000 and invested part of it in a money market account, part in municipal bonds and part in a mutual fund. After a year, she received a total of $730 simple interest from the 3 investments. The money market account paid 4% annually, the bonds paid 5% annually, and the mutual fund paid 6% annually. There was $2000 more invested in the mutual fund than in bonds. find the amount that Moira invested in each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #632520 by </B><A HREF=/tutors/aboutme.mpl?userid=FrankM><B>FrankM(1040)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=FrankM><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=FrankM><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=632520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> MM+MF+B=15000<BR>\n" );
document.write( "MM(.04)+MF(.06)+B(.05)=730<BR>\n" );
document.write( "MF=B+2000\r<BR>\n" );
document.write( "\n" );
document.write( "Let's take the first 2 equations. Multiply the second by 100\r<BR>\n" );
document.write( "\n" );
document.write( "4MM+6MF+5B=73000\r<BR>\n" );
document.write( "\n" );
document.write( "and multiply the first by -4\r<BR>\n" );
document.write( "\n" );
document.write( "-4MM-4MF-4B=-60000\r<BR>\n" );
document.write( "\n" );
document.write( "and add these two together.\r<BR>\n" );
document.write( "\n" );
document.write( "2MF+B=13000\r<BR>\n" );
document.write( "\n" );
document.write( "But, MF=B+2000 so ,\r<BR>\n" );
document.write( "\n" );
document.write( "2(B+2000)+B=13000\r<BR>\n" );
document.write( "\n" );
document.write( "2B+4000+B=13000\r<BR>\n" );
document.write( "\n" );
document.write( "3B=9000\r<BR>\n" );
document.write( "\n" );
document.write( "B = 3000\r<BR>\n" );
document.write( "\n" );
document.write( "MF = 5000\r<BR>\n" );
document.write( "\n" );
document.write( "MM = 7000 (just subtract the first 2 from 15000.) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );