document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=688333>Question 688333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An endangered species of fish has a population that is decreasing exponentially (( https://angel.spcollege.edu/AngelUploads/QuestionData/1f54ae24-bb77-465a-9c07-cd62ee907845/31126544631625414447.jpg )) The population 8 years ago was 1700. Today, only 1000 of the fish are alive. Once the population drops below 100, the situation will be irreversible. When will this happen, according to the model? (Round to the nearest whole year.)\r<BR>\n" );
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document.write( "I rounded and got 34 years from today.... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425575 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=425575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm getting t = 35 since I got t = 34.71486756 and rounded to the nearest integer.\r<BR>\n" );
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document.write( "A = Ao*e^(k*t)\r<BR>\n" );
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document.write( "1700 = 1000*e^(k*(-8))\r<BR>\n" );
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document.write( "1700/1000 = e^(k*(-8))\r<BR>\n" );
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document.write( "1.7 = e^(k*(-8))\r<BR>\n" );
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document.write( "-8k = ln(1.7)\r<BR>\n" );
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document.write( "k = ln(1.7)/(-8)\r<BR>\n" );
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document.write( "k = -0.0663285\r<BR>\n" );
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document.write( "-------------------------------------------\r<BR>\n" );
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document.write( "A = Ao*e^(k*t)\r<BR>\n" );
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document.write( "A = 1000*e^(-0.0663285*t)\r<BR>\n" );
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document.write( "100 = 1000*e^(-0.0663285*t)\r<BR>\n" );
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document.write( "100/1000 = e^(-0.0663285*t)\r<BR>\n" );
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document.write( "0.1 = e^(-0.0663285*t)\r<BR>\n" );
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document.write( "-0.0663285t = ln(0.1)\r<BR>\n" );
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document.write( "t = ln(0.1)/(-0.0663285)\r<BR>\n" );
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document.write( "t = 34.71486756\r<BR>\n" );
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document.write( "So it will take 35 years </SPAN>\n" );
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