document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77567>Question 77567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> estimate the doubling time of this function:<BR>\n" );
document.write( "p= 2.1(1.0475)^ t where t is in years </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55659 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=55659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p= 2.1(1.0475)^ t where t is in years<BR>\n" );
document.write( "If I read you correctly, 2.1 is the amount invested.<BR>\n" );
document.write( "Double that would be 4.2.<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "4.2 = 2.1(1.0475)^t<BR>\n" );
document.write( "2=1.0475^t<BR>\n" );
document.write( "Take the ln of both sides to get:<BR>\n" );
document.write( "ln2 = t(ln1.0475)<BR>\n" );
document.write( "t=ln2 / ln1.0475<BR>\n" );
document.write( "t = 3.7635<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );