document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083418>Question 1083418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ralph Chase plans to sell a piece of property for &#8203;$145000. He wants the money to be paid off in two waysminus&#8722;a &#8203;short-term note at 12&#8203;% interest and a&#8203; long-term note at 9% interest. Find the amount of each note if the total annual interest paid is &#8203;$15450\r<BR>\n" );
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document.write( "he amount of the 12&#8203;% note is &#8203;$____ and the amount of the 9&#8203;% note is &#8203;$___ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697464 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=697464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the short term note pays 12% interest per year.<BR>\n" );
document.write( "the long term note pays 9% interest per year.\r<BR>\n" );
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document.write( "the total interest per year is 145,000.\r<BR>\n" );
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document.write( "let x = the amount of the short term loan.<BR>\n" );
document.write( "let y = the amount of the long term loan.\r<BR>\n" );
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document.write( "x + y = 145000\r<BR>\n" );
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document.write( ".12x + .09y = 15450\r<BR>\n" );
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document.write( "you have 2 equations that needs to be solved simultaneously.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "x + y = 145000<BR>\n" );
document.write( ".12x + .09y = 15450\r<BR>\n" );
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document.write( "assuming you know how to solve equations simultaneously, i'll just do this graphically and show you the result.\r<BR>\n" );
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document.write( "the intersections of the lines of both equations shows the solution.\r<BR>\n" );
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document.write( "that occurs when x = 80000 and y = 65000\r<BR>\n" );
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document.write( "80000 + 65000 = 145000\r<BR>\n" );
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document.write( ".12*80000 + .09*65000 = 15450\r<BR>\n" );
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document.write( "this is what the graph looks like:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/060107.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "if you do not know how to solve equations simultaneously, here's a good reference.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/systlin1.htm\" target = \"_blank\">http://www.purplemath.com/modules/systlin1.htm</a><BR>\n" );
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