document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=414328>Question 414328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the annual interest on a 9000 investment exceeds the interest earned on a 3000 investment by 438. the 9000 is invested at 0.7% higher rate of interest than the 3000. what is the interest of each  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #290618 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=290618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> interest on 3000 investment = x<BR>\n" );
document.write( "interest on 9000 investment = x + 438\r<BR>\n" );
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document.write( "interest rate of 3000 investment = y<BR>\n" );
document.write( "interest rate of 9000 investment = y + .007\r<BR>\n" );
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document.write( "you convert interest rate percent to interest rate by dividing by 100%.\r<BR>\n" );
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document.write( "you get .7% = .7%/100% = .007\r<BR>\n" );
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document.write( "investment times interest rate = interest.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "9000 * (y + .007) = x + 438<BR>\n" );
document.write( "3000 * y = x\r<BR>\n" );
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document.write( "you can replace x in the first equation with the value of x from the second equation.\r<BR>\n" );
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document.write( "this reduces the first equation to one unknown which can be solved for.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "9000 * (y + .007) = (3000 * y) + 438\r<BR>\n" );
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document.write( "all you have to do now is solve for y.\r<BR>\n" );
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document.write( "simplify the equation to get:\r<BR>\n" );
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document.write( "9000 * y + .007 * 9000 = 3000*y + 438\r<BR>\n" );
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document.write( "simplify further to get:\r<BR>\n" );
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document.write( "9000 * y + 63 = 3000 * y + 438\r<BR>\n" );
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document.write( "subtract 63 from both sides of the equation and subtract 3000 * y from both sides of the equation to get:\r<BR>\n" );
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document.write( "9000 * y - 3000 * y = 438 - 63\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "6000 * y = 375\r<BR>\n" );
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document.write( "divide both sides of the equation by 6000 to get:\r<BR>\n" );
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document.write( "y = .0625\r<BR>\n" );
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document.write( "that's the interest rate for the 3000 investment.\r<BR>\n" );
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document.write( "3000 * .0625 = 187.5\r<BR>\n" );
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document.write( "that's the interest for the 3000 investment which equal to x.\r<BR>\n" );
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document.write( "the interest rate on the 9000 investment is equal to .0625 + .007 = .0695\r<BR>\n" );
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document.write( "9000 * .0695 = 625.5\r<BR>\n" );
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document.write( "that's the interest for the 9000 investment which should be equal to x + 438\r<BR>\n" );
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document.write( "x = 187.5\r<BR>\n" );
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document.write( "x + 438 = 187.5 + 438 = 625.5\r<BR>\n" );
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document.write( "the requirements of the problem are satisfied so the answer is correct.\r<BR>\n" );
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document.write( "the answer is:\r<BR>\n" );
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document.write( "the interest rate of the 3000 investment is .0625<BR>\n" );
document.write( "the interest rate of the 9000 investment is .0695 </SPAN>\n" );
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