document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375947>Question 375947</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the constants N(o) and K so that the graph y=N(o)e^(kt)   passes through the points (2,3) and (8,24).\r<BR>\n" );
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document.write( "I dont even know how to start this problem... any help would be greatly appreciated!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267356 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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=267356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=N(o)e^(kt)<BR>\n" );
document.write( "3=N(o)e^(2k)<BR>\n" );
document.write( "N(o)=3/e^(2k)\r<BR>\n" );
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document.write( "y=N(o)e^(kt)<BR>\n" );
document.write( "24=(3/e^(2k))e^(8k)<BR>\n" );
document.write( "24=3e^(6k)<BR>\n" );
document.write( "8=e^(6k)<BR>\n" );
document.write( "6k=ln(8)<BR>\n" );
document.write( "k=ln(8)/6<BR>\n" );
document.write( "k=3ln(2)/6<BR>\n" );
document.write( "k=ln(2)/2\r<BR>\n" );
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document.write( "N(o)=3/e^(2k)<BR>\n" );
document.write( "N(o)=3/e^(2*ln(2)/2)<BR>\n" );
document.write( "N(o)=3/e^(ln(2))<BR>\n" );
document.write( "N(o)=3/2\r<BR>\n" );
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document.write( "Answer: equation is y = 3/2 e^(ln(2)/2 t)<BR>\n" );
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