document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166629>Question 1166629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two bond funds pay interest at rates that differ by 3%. Money invested for one year in the first fund earns $400 interest. The same amount invested in the other fund earns $520. Find the lower rate of interest.<BR>\n" );
document.write( " % </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791159 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=791159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two bond funds pay interest at rates that differ by 3%. <BR>\n" );
document.write( "Money invested for one year in the first fund earns $400 interest. <BR>\n" );
document.write( "The same amount invested in the other fund earns $520.<BR>\n" );
document.write( " Find the lower rate of interest. %<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let A = amt invested in each fund<BR>\n" );
document.write( "let r = lower interest rate in decimal form<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(r+.03) = higher interest rate<BR>\n" );
document.write( ":<BR>\n" );
document.write( "rA = 400<BR>\n" );
document.write( "and<BR>\n" );
document.write( "A(r+.03) = 520<BR>\n" );
document.write( "rA + .03A = 520<BR>\n" );
document.write( "replace rA with 400<BR>\n" );
document.write( "400 + .03A = 520<BR>\n" );
document.write( ".03A = 520-400<BR>\n" );
document.write( "A = 120/.03<BR>\n" );
document.write( "A = $4000 is the amt<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4000r = 400<BR>\n" );
document.write( "r = 400/4000<BR>\n" );
document.write( "r = .10 or 10 % is the lower interest<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this by finding the int at the higher rate<BR>\n" );
document.write( ".13 * 4000 = 520\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );