document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002299>Question 1002299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> After one interst period the interest earned pn a 7000 investment exceeds the interest earned on 5000 by 160. The interest rate for 5000 investment is greater than by 1.6% to the 7000 investment. Find the rates for the two investments </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619240 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=619240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate = percent / 100.<BR>\n" );
document.write( "percent = rate * 100.\r<BR>\n" );
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document.write( "1.6% divided by 100 = .016\r<BR>\n" );
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document.write( "let x = the interest rate for the 7000 investment.\r<BR>\n" );
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document.write( "then x + .016 = the interest rate for the 5000 investment.\r<BR>\n" );
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document.write( "your statement is:\r<BR>\n" );
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document.write( "After one interest period, the interest earned on a 7000 investment exceeds the interest earned on a 5000 investment by 160. \r<BR>\n" );
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document.write( "The interest rate for the 5000 investment is greater than the interest rate for the 7000 investment by 1.6%.  \r<BR>\n" );
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document.write( "Find the rates for the two investments\r<BR>\n" );
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document.write( "the above statements translate to:\r<BR>\n" );
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document.write( "x * 7000 - (x + .016) * 5000 = 160\r<BR>\n" );
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document.write( "simplify this to get:\r<BR>\n" );
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document.write( "x * 7000 - (x * 5000)  - (.016 * 5000) = 160\r<BR>\n" );
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document.write( "simplify further and combine like terms to get:\r<BR>\n" );
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document.write( "x * 2000 - 80 = 160\r<BR>\n" );
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document.write( "add 80 to both sides of the equation to get:\r<BR>\n" );
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document.write( "x * 2000 = 240\r<BR>\n" );
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document.write( "divide both sides of the equation by 2000 to get:\r<BR>\n" );
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document.write( "x = .12\r<BR>\n" );
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document.write( "the interest rate on the 7000 investment is .12\r<BR>\n" );
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document.write( "the interest rate on the 5000 investment is .136\r<BR>\n" );
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document.write( ".12 * 7000 - .136 * 5000 = 160 becomes:\r<BR>\n" );
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document.write( "160 = 160\r<BR>\n" );
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document.write( "this confirms the solution is correct.\r<BR>\n" );
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document.write( "the solution is:\r<BR>\n" );
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document.write( "the rate for the 7000 investment is 12%.\r<BR>\n" );
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document.write( "the rate for the 5000 investment is 13.6%.\r<BR>\n" );
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document.write( "rate = percent divided by 100<BR>\n" );
document.write( "percent = rate * 100\r<BR>\n" );
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document.write( " </SPAN>\n" );
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