document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138088>Question 138088</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
document.write( "\n" );
document.write( "I have the answer to this problem, but I did not solve it algebraically.  Can you help me with how it would be solved through algebra?  Here is the problem:<BR>\n" );
document.write( "If a bank compounds continuously, then the formula used is  A=Pe^rt<BR>\n" );
document.write( "where e is a constant and equals approximately 2.7183, P = $3000 and r=6%, how long will it take (t) to double the P?  In other words, if A=6000, P=3000, e= 2.7183 and r=6%, solve for t<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100867 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=100867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> dividing by P (3000) __ .5=e^(.06t)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "taking natural log __ ln(.5)=.06t\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "dividing by .06 __ [ln(.5)]/.06=t\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "e is the base for natural logs </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );