document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563812>Question 563812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An executive invests $10,000,some at 9% and some at 8% annual interest. If he receives an annual return of $830, how much is invested at each rate?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365048 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=365048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An executive invests $10,000,some at 9% and some at 8% annual interest. If he receives an annual return of $830, how much is invested at each rate? <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "x  +  y  = 10,000<BR>\n" );
document.write( "0.09x + 0.08y = 830<BR>\n" );
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document.write( "Multiply thru 1st by 9<BR>\n" );
document.write( "Multiply thru 2nd by 100<BR>\n" );
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document.write( "9x  + 9y  = 9*10,000<BR>\n" );
document.write( "9x  + 8y  = 83000<BR>\n" );
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document.write( "Subtract and solve for \"y\":<BR>\n" );
document.write( "y = $7000 (amt. invested at 9%)<BR>\n" );
document.write( "x = $3000 (amt. invested at 8%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );