document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=567450>Question 567450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two investments earn an annual income of $478.40. One investment earns an annual simple interest rate of 6.5%, and the other investment earns an annual simple interest rate of 5.4%.  The total amount invested is $7,800.  How much is invested in each account? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366571 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=366571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Investment Part I	6.50%		per annum	----x					<BR>\n" );
document.write( "Investment part II	5.40%		per annum	----y					<BR>\n" );
document.write( "The sum of the investments is 	$7,800.00			<BR>\n" );
document.write( "The sum of individual interests = $478.40					<BR>\n" );
document.write( "x+y=7800	------------------------1				<BR>\n" );
document.write( "6.50%x+	5.40%y=	$478.40			<BR>\n" );
document.write( "Multiply by 		100							<BR>\n" );
document.write( "6.5x+5.4y=	$47,840.00		--------2	<BR>\n" );
document.write( "									<BR>\n" );
document.write( "Multiply (1) by			-6.5						<BR>\n" );
document.write( "we get									<BR>\n" );
document.write( "									<BR>\n" );
document.write( "-6.5x-6.5y=	-50700.00			<BR>\n" );
document.write( "									<BR>\n" );
document.write( "Add this to (2)									<BR>\n" );
document.write( "									<BR>\n" );
document.write( "0x-1.1y	=-$2,860.00			<BR>\n" );
document.write( "									<BR>\n" );
document.write( "divide by-1.1							<BR>\n" );
document.write( "									<BR>\n" );
document.write( "y	=		$2,600.00		investment at 	5.40%<BR>\n" );
document.write( "Balance			$5,200.00		investment at 	6.50%<BR>\n" );
document.write( "CHECK									<BR>\n" );
document.write( "$5,200.00	@	6.50%	$338.00						<BR>\n" );
document.write( "$2,600.00	@	5.40%	$140.40						<BR>\n" );
document.write( "Total	--------------------	$478.40						<BR>\n" );
document.write( "									<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );