document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010020>Question 1010020</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Following the function P(t)=1+ke^0.08t where k is a constant and t is the time in years.  If the current population is 37,000 in how many years is the population expected to be 92,500? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625635 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=625635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28t%29=1%2Bke%5E%280.08t%29+where+%7B%7B%7Bk ALIGN=MIDDLE  ALT=\"P%28t%29=1%2Bke%5E%280.08t%29+where+%7B%7B%7Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a constant and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the time in years.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=37000 ALIGN=MIDDLE  ALT=\"k=37000\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28t%29=+92500 ALIGN=MIDDLE  ALT=\"P%28t%29=+92500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "find: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=92500=1%2B37000e%5E%280.08t%29 ALIGN=MIDDLE  ALT=\"92500=1%2B37000e%5E%280.08t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=92500-1=37000e%5E%280.08t%29 ALIGN=MIDDLE  ALT=\"92500-1=37000e%5E%280.08t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=92499=37000e%5E%280.08t%29 ALIGN=MIDDLE  ALT=\"92499=37000e%5E%280.08t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=92499%2F37000=e%5E%280.08t%29 ALIGN=MIDDLE  ALT=\"92499%2F37000=e%5E%280.08t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.499972972972973=e%5E%280.08t%29 ALIGN=MIDDLE  ALT=\"2.499972972972973=e%5E%280.08t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........take a natural log of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282.499972972972973%29=ln%28e%5E%280.08t%29%29 ALIGN=MIDDLE  ALT=\"ln%282.499972972972973%29=ln%28e%5E%280.08t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282.499972972972973%29=%280.08t%29ln%28e%29 ALIGN=MIDDLE  ALT=\"ln%282.499972972972973%29=%280.08t%29ln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%29=1 ALIGN=MIDDLE  ALT=\"ln%28e%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282.499972972972973%29=0.08t%0D%0A%0D%0A%0D%0A%7B%7B%7Bt=ln%282.499972972972973%29%2F0.08 ALIGN=MIDDLE  ALT=\"ln%282.499972972972973%29=0.08t%0D%0A%0D%0A%0D%0A%7B%7B%7Bt=ln%282.499972972972973%29%2F0.08\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0.9162799210049070%2F0.08 ALIGN=MIDDLE  ALT=\"t=0.9162799210049070%2F0.08\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=11.4534990125613375 ALIGN=MIDDLE  ALT=\"t=11.4534990125613375\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=11.5 ALIGN=MIDDLE  ALT=\"t=11.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > years\r<BR>\n" );
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document.write( " </SPAN>\n" );
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