document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271685>Question 271685</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Piolo invested part of 35,000 in a stock paying 9% interest for 2 yrs and the balance  in a stock paying 6% interest for 4 years. It turns out that the two investment earned equal interest. How much was invested at each rate? What is the total interest earned? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198839 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=198839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x(1+.09)^2=(35,000-x)(1+.06)^4<BR>\n" );
document.write( "x*1.09^2=(35,000-x)(1.06)^4<BR>\n" );
document.write( "x*1.1881=(35,000-x)*1.2625<BR>\n" );
document.write( "1.1881x=44187.50-1.2625x<BR>\n" );
document.write( "1.1881x+1.2625x=44,187.50<BR>\n" );
document.write( "2.4506x=44,187.50<BR>\n" );
document.write( "x=44,187.50/2.4506<BR>\n" );
document.write( "x=18,031.30 invested @ 9%<BR>\n" );
document.write( "35,000-18,031.30=16,968.70 invested @ 6%<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "18,031.30*1.09^2=16,968.70*1.06^4<BR>\n" );
document.write( "18,031.30*1.1881=16,968.70*1.2625<BR>\n" );
document.write( "21,422.98~21,422.98 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );