document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134082>Question 1134082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Wendy was awarded a volleyball scholarship to the University of Michigan, so on graduation her parents gave her the $15,000 they had saved for her college tuition. She opted to invest some money in a privately held company that pays 10% per year and evenly split the remaining money between a market account yielding 2% and a high rick stock that yielded 40%. At the end of the first year she had $17,600 total. How much did she invest in each of the three?\r<BR>\n" );
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document.write( "10%=<BR>\n" );
document.write( "2%=<BR>\n" );
document.write( "40%= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751714 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> She earned $2600<BR>\n" );
document.write( "x was invested at 10% earning .10x<BR>\n" );
document.write( "the rest was 15000-x<BR>\n" );
document.write( "split means (1/2)(15000-x)<BR>\n" );
document.write( "between 2% and 40%<BR>\n" );
document.write( "so .02(.5)(15000-x)=.01(15000-x)<BR>\n" );
document.write( "and (.40)(.5)(15000-x)=0.2(15000-x)<BR>\n" );
document.write( "2600=.10x+.150-.01x+3000-.2x<BR>\n" );
document.write( "2600=-.11x+3150<BR>\n" );
document.write( "-550=-.11x<BR>\n" );
document.write( "x=$5000 at 10% earning $500<BR>\n" );
document.write( "$5000 at 2% earning $100<BR>\n" );
document.write( "$5000 (the other half of the split) earning 40% or $2000.<BR>\n" );
document.write( "That is $2600. </SPAN>\n" );
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