document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=866234>Question 866234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A financial advisor invested a total of $10000 , part at 7.5% per annum compounded annually, part at 8% per annum compounded annually. At the end of the first year, a total of $780 interest had been earned. How much had been invested at each interest rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #522148 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=522148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Part I	7.50%		per annum	-------------	Amount invested =x		<BR>\n" );
document.write( "Part II	8.00%		per annum	------------	Amount invested = y		<BR>\n" );
document.write( "	10000						<BR>\n" );
document.write( "Interest-----	780.00						<BR>\n" );
document.write( "							<BR>\n" );
document.write( "Part I	7.50%		per annum	---x			<BR>\n" );
document.write( "Part II	8.00%		per annum	---y			<BR>\n" );
document.write( "Total investment							<BR>\n" );
document.write( "x	+	1	y=	10000	-------------1		<BR>\n" );
document.write( "Interest on both investments							<BR>\n" );
document.write( "7.50%	x	+	8.00%	y=	780		<BR>\n" );
document.write( "Multiply by		100					<BR>\n" );
document.write( "7.5	x	+	8	y=	78000.00	--------2	<BR>\n" );
document.write( "Multiply (1) by			-7.5				<BR>\n" );
document.write( "we get							<BR>\n" );
document.write( "-7.5	x	-7.5	y=	-75000.00			<BR>\n" );
document.write( "Add this to (2)							<BR>\n" );
document.write( "0	x	0.5	y=	3000			<BR>\n" );
document.write( "divide by		0.5					<BR>\n" );
document.write( "			y	=	6000		<BR>\n" );
document.write( "Part I	7.50%	$	4000				<BR>\n" );
document.write( "Part II	8.00%	$	6000				<BR>\n" );
document.write( "							<BR>\n" );
document.write( "CHECK							<BR>\n" );
document.write( "4000	---------	7.50%	-------	300.00			<BR>\n" );
document.write( "6000	-------------	8.00%	-------	480.00			<BR>\n" );
document.write( "Total			--------------------	780.00			<BR>\n" );
document.write( "							<BR>\n" );
document.write( "m.ananth@hotmail.ca							<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );