document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63304>Question 63304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find N base 0 and k in the exponential function N(t)= N base 0e^kt, given that N(0) = 11 and N(4) = 5. state k acurate to six decimal places </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44091 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=44091\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find No and k in the exponential function N(t)= No e^kt, given that N(0) = 11 and N(4) = 5. state k accurate to six decimal places<BR>\n" );
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document.write( "N(t)= No e^kt<BR>\n" );
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document.write( "N(0)=No e^(k*0)<BR>\n" );
document.write( "N(0)=No e^0<BR>\n" );
document.write( "N(0)=No = 11<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "N(4)=11 e^(4k)<BR>\n" );
document.write( "5=11 e^(4k)<BR>\n" );
document.write( "5/11 = e^(4k)<BR>\n" );
document.write( "Take the natural log of both sides to get:<BR>\n" );
document.write( "4k= -0.7884573604...<BR>\n" );
document.write( "k= -0.1971143401...<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );