document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=469773>Question 469773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The \"learning curve\" describes the rate at which a person learns certain tasks. If a person sets a goal of typing N words per minute (wpm), the length of time t (in days) to achieve this goal is given by the following formula. <BR>\n" );
document.write( "t=-62.5ln(1-N/80)\r<BR>\n" );
document.write( "\n" );
document.write( "(a) According to this formula, what is the maximum number of words per minute?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(b) Solve for N.<BR>\n" );
document.write( "I am trying to remedy this question to no end.Can someone please help me? thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #322268 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=322268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) max number of words is 80<BR>\n" );
document.write( "domain of ln(x) is x>0<BR>\n" );
document.write( "1-(N/80) > 0<BR>\n" );
document.write( "1 > N/80<BR>\n" );
document.write( "80 > N<BR>\n" );
document.write( "*******************************<BR>\n" );
document.write( "b) Use algebra to solve for N<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-62.5ln%281-%28N%2F80%29%29 ALIGN=MIDDLE  ALT=\"t=-62.5ln%281-%28N%2F80%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Divide by -62.5 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-t%29%2F62.5+=+ln+%281-%28N%2F80%29%29 ALIGN=MIDDLE  ALT=\"%28-t%29%2F62.5+=+ln+%281-%28N%2F80%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rewrite in exponential form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-t%2F62.5%29+=+1+-%28N%2F80%29 ALIGN=MIDDLE  ALT=\"e%5E%28-t%2F62.5%29+=+1+-%28N%2F80%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add N/80 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-t%2F62.5%29+%2B+%28N%2F80%29+=+1 ALIGN=MIDDLE  ALT=\"e%5E%28-t%2F62.5%29+%2B+%28N%2F80%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract e^(-t/62.5) to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F80+=+1+-+e%5E%28-t%2F62.5%29 ALIGN=MIDDLE  ALT=\"N%2F80+=+1+-+e%5E%28-t%2F62.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 80 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N+=+80%281+-+e%5E%28-t%2F62.5%29%29 ALIGN=MIDDLE  ALT=\"N+=+80%281+-+e%5E%28-t%2F62.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );