document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=555297>Question 555297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is estimated that t years from now the population of a particular city will be....\r<BR>\n" );
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document.write( "P = t^2 - 24t + 96,000\r<BR>\n" );
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document.write( "How many years from now will the population be 95,865?\r<BR>\n" );
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document.write( "Thanks in advance, I appreciate it! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361729 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=361729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P = t^2 - 24t + 96000 \r<BR>\n" );
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document.write( "95865 = t^2 - 24t + 96000 \r<BR>\n" );
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document.write( "0 = t^2 - 24t + 96000 - 95865 \r<BR>\n" );
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document.write( "0 = t^2 - 24t + 135\r<BR>\n" );
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document.write( "Now use the quadratic formula to solve for t:\r<BR>\n" );
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document.write( "t = (-b+-sqrt(b^2-4ac))/(2a)\r<BR>\n" );
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document.write( "t = (-(-24)+-sqrt((-24)^2-4(1)(135)))/(2(1))\r<BR>\n" );
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document.write( "t = (24+-sqrt(576-(540)))/(2)\r<BR>\n" );
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document.write( "t = (24+-sqrt(36))/2\r<BR>\n" );
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document.write( "t = (24+sqrt(36))/2 or t = (24-sqrt(36))/2\r<BR>\n" );
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document.write( "t = (24+6)/2 or t = (24-6)/2\r<BR>\n" );
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document.write( "t = 30/2 or t = 18/2\r<BR>\n" );
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document.write( "t = 15 or t = 9\r<BR>\n" );
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document.write( "So this means that in 15 or 9 years the population will be 95,865\r<BR>\n" );
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document.write( "Note: the population will reach 95,865 in 9 years first, dip below 95865 and then climb back up to 95,865 when t = 15\r<BR>\n" );
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document.write( "Jim</font></b>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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