document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=532306>Question 532306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An investor has a total $18,000 deposited in three different accounts, which earn annual interest of 9%, 7%, and 5%. The account deposited in the 9% account is twice the amount in the 5% account. If the three accounts earn total annual interest of $1340, how much money is deposited 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 #350799 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=350799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An investor has a total $18,000 deposited in three different accounts,\r<BR>\n" );
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document.write( "9%,------------ $x<BR>\n" );
document.write( "7%,-------------$y<BR>\n" );
document.write( "5%.-------------$z \r<BR>\n" );
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document.write( "The account deposited in the 9% account is twice the amount in the 5% account.<BR>\n" );
document.write( "x=2z\r<BR>\n" );
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document.write( "x+y+z=18000<BR>\n" );
document.write( "substitute z<BR>\n" );
document.write( "2z+y+z=18000<BR>\n" );
document.write( "y+3z=18000.................1<BR>\n" );
document.write( "the three accounts earn total annual interest of $1340, <BR>\n" );
document.write( "9%x+7%y+5%z=1340<BR>\n" );
document.write( "x=2z<BR>\n" );
document.write( "9%*2z+7%y+5%z=1340<BR>\n" );
document.write( "18%z+7%y+5%z=1340<BR>\n" );
document.write( "multiply by 100<BR>\n" );
document.write( "18z+7y+5z=134000<BR>\n" );
document.write( "23z+7y=134000................2\r<BR>\n" );
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document.write( "3	z	+	1	y	=	18000	.............1	<BR>\n" );
document.write( "23	z	+	7	y	=	134000	.............2	<BR>\n" );
document.write( "Eliminate y								<BR>\n" );
document.write( "multiply (1)by 		-7						<BR>\n" );
document.write( "Multiply (2) by		1						<BR>\n" );
document.write( "-21	z		-7	y	=	-126000		<BR>\n" );
document.write( "23	z		7	y	=	134000		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "2	z				=	8000		<BR>\n" );
document.write( "/	2							<BR>\n" );
document.write( "z	=	4,000.00						<BR>\n" );
document.write( "plug value of 			z	in (1)				<BR>\n" );
document.write( "3	z	+	1	y	=	18000		<BR>\n" );
document.write( "12000		+	1	y	=	18000		<BR>\n" );
document.write( "			1	y	=	18000		-12000<BR>\n" );
document.write( "			1	y	=	6000		<BR>\n" );
document.write( "				y	=	6000.00	\r<BR>\n" );
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document.write( "Now that you know z & y you can calculate x 	<BR>\n" );
document.write( "m.ananth@hotmail.ca<BR>\n" );
document.write( " </SPAN>\n" );
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