document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830674>Question 830674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sir please help me to resolve the below question.<BR>\n" );
document.write( "A woman has $500,000 invested in two rental properties. One yields an annual return of 10% of her investment, and the other returns 12% for her investment. Her total annual return from two investments $53,000.Let x represents the amount of the 10% investment and y represent the amount of the 12% investment.<BR>\n" );
document.write( "a)	Write an equation that states that the sum of investment is 500,000 dollars.<BR>\n" );
document.write( "b)	What is the annual return on 10% investment?<BR>\n" );
document.write( "c)	What is the annual return on 12% investment?<BR>\n" );
document.write( "d)	Write an equation that states that the sum of the annual returns is 53,000 dollars.<BR>\n" );
document.write( "e)	Solve these two equations simultaneously to find how much is invested in each property.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500788 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=500788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. x	+	1	y=	500000\r<BR>\n" );
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document.write( "b.10.00%x	\r<BR>\n" );
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document.write( "c.5.00%	y\r<BR>\n" );
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document.write( "d.10.00%	x	+	5.00%	y=	53000\r<BR>\n" );
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document.write( "Total investment						<BR>\n" );
document.write( "x	+	1	y=	500000	-------------1	<BR>\n" );
document.write( "Interest on both investments						<BR>\n" );
document.write( "10.00%	x	+	5.00%	y=	53000	<BR>\n" );
document.write( "Multiply by		100				<BR>\n" );
document.write( "10	x	+	5	y=	5300000.00	--------2<BR>\n" );
document.write( "Multiply (1) by			-10			<BR>\n" );
document.write( "we get						<BR>\n" );
document.write( "-10	x	-10	y=	-5000000.00		<BR>\n" );
document.write( "Add this to (2)						<BR>\n" );
document.write( "0	x	-5	y=	300000		<BR>\n" );
document.write( "divide by		-5				<BR>\n" );
document.write( "			y	=	-60000	<BR>\n" );
document.write( "Part I	10.00%	$	560000			<BR>\n" );
document.write( "Part II	5.00%	$	-60000			<BR>\n" );
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document.write( "CHECK						<BR>\n" );
document.write( "560000	---------	10.00%	-------	56000.00		<BR>\n" );
document.write( "-60000	-------------	5.00%	-------	-3000.00		<BR>\n" );
document.write( "Total			--------------------	53000.00		<BR>\n" );
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document.write( "m.ananth@hotmail.ca						\r<BR>\n" );
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