document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102266>Question 102266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two investments were made totaling $15,000.  For a certain year these investments yielded $1432 in simple intrest.  part of the $15,000 was invested at 9% and part at 10%. find the amount 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 #74322 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Interest(I)=Principal(P) times Rate(R) times Time(T) or I=PRT<BR>\n" );
document.write( "Let P-amount invested at 9%<BR>\n" );
document.write( "(1)  Interest accrued at 9%=P*0.09*1 or 0.09P\r<BR>\n" );
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document.write( "Then 15000-P=amount invested at 10%<BR>\n" );
document.write( "(2)  Interest accrued at 10%=(15000-P)*0.10*1 or 0.10(15000-P)\r<BR>\n" );
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document.write( "Now we are told that (1)+(2)=1432 or\r<BR>\n" );
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document.write( "0.09P+0.10(15000-P)=1432  get rid of parens\r<BR>\n" );
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document.write( "0.09P+1500-0.10P=1432  subtract 1500 from both sides<BR>\n" );
document.write( "0.09P+1500-1500-0.10P=1432-1500  collect like terms\r<BR>\n" );
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document.write( "-0.01P=-68  divide both sides by -0.01\r<BR>\n" );
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document.write( "P=$6800---------------------amount invested at 9%\r<BR>\n" );
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document.write( "15000-P=15000-6800=$8200----------------amount invested at 10%\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "6800*0.09+8200*0.10=1432<BR>\n" );
document.write( "$612+$820=$1432<BR>\n" );
document.write( "$1432=$1432\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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