document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892642>Question 892642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of a certain species of fish has a relative growth rate of 1.2% per year. It is estimated that the population in 2000 was 10million.                <BR>\n" );
document.write( "a.     Find an exponential model N(t)=N e^rt for the population after 2000<BR>\n" );
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document.write( "b.     Estimate the fish population in the year 2007\r<BR>\n" );
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document.write( "c.     After how year will the fish population reach 13 million </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540663 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=540663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population of a certain species of fish has a relative growth rate of 1.2% per year. It is estimated that the population in 2000 was 10million.<BR>\n" );
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document.write( "a. Find an exponential model N(t)=N e^rt for the population after 2000<BR>\n" );
document.write( "N(t) = 10^6*e^(0.012t)<BR>\n" );
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document.write( " b. Estimate the fish population in the year 2007<BR>\n" );
document.write( "N(7) = 10^6*e^(0.012*7)<BR>\n" );
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document.write( "N(7) = 1087628.9<BR>\n" );
document.write( "Round up.<BR>\n" );
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document.write( "c. After how many years will the fish population reach 13 million<BR>\n" );
document.write( "13*10^6 = 10^6*e^(0.012t)<BR>\n" );
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document.write( "e^(0.012t) = 13<BR>\n" );
document.write( "0.012t = ln(13)<BR>\n" );
document.write( "t = 213.7 years<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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