document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=258729>Question 258729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The town of Dover currently has a population of 6500. If its population is increasing at a rate of 1200 people per year, how long will it take for the population to reach 20,600? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #190432 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=190432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p = 6500<BR>\n" );
document.write( "f = 20600<BR>\n" );
document.write( "g = 1200\r<BR>\n" );
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document.write( "formula would be:\r<BR>\n" );
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document.write( "f = p + (n * g)\r<BR>\n" );
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document.write( "f = future value<BR>\n" );
document.write( "p = present value<BR>\n" );
document.write( "g = growth per year<BR>\n" );
document.write( "n = number of years\r<BR>\n" );
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document.write( "we are solving for n.\r<BR>\n" );
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document.write( "formula becomes:\r<BR>\n" );
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document.write( "20600 = 6500 + (1200 * n)\r<BR>\n" );
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document.write( "subtract 6500 from both sides of the equation to get\r<BR>\n" );
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document.write( "20600 - 6500 = 1200*n\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "14100 = 1200*n\r<BR>\n" );
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document.write( "divide both sides by 1200 to get:\r<BR>\n" );
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document.write( "14100 / 1200 = n\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "11.75 = n\r<BR>\n" );
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document.write( "it will take 11.75 years for the population to reach 20600.\r<BR>\n" );
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document.write( ".75 years * 12 months per year = 9 months\r<BR>\n" );
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document.write( "that's equivalent to 11 years and 9 months.\r<BR>\n" );
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document.write( "11.75 * 1200 = 14100 + 6500 = 20600 confirming the answer is good.\r<BR>\n" );
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document.write( "the answer is:\r<BR>\n" );
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document.write( "it will take 11.75 years for a population of 6500 to reach 20600 with a growth rate of 1200 people per year.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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