document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=868004>Question 868004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, <BR>\n" );
document.write( "i was wondering whether you were able to help me rearrange the following formula to find r;<BR>\n" );
document.write( "No=150<BR>\n" );
document.write( "C=450\r<BR>\n" );
document.write( "\n" );
document.write( "N=C/(1+((C-No)/No)*e^-r*t\r<BR>\n" );
document.write( "\n" );
document.write( "Thankyou!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523308 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=523308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=No=150 ALIGN=MIDDLE  ALT=\"No=150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=450 ALIGN=MIDDLE  ALT=\"C=450\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "N=C/(1+((C-No)/No)*e^-r*t has mismatched brackets (3 opening parentheses, and 2 closing parentheses).<BR>\n" );
document.write( "I thought that you must have meant N=C/(1+((C-No)/No)*e^-r*t),<BR>\n" );
document.write( "showing that the entire 1+((C-No)/No)*e^-r*t expression is in the denominator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=C%2F%281%2B%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29%29 ALIGN=MIDDLE  ALT=\"N=C%2F%281%2B%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=N%2A%281%2B%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29%29 ALIGN=MIDDLE  ALT=\"C=N%2A%281%2B%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2FN=1%2B%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29 ALIGN=MIDDLE  ALT=\"C%2FN=1%2B%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2FN-1=%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29 ALIGN=MIDDLE  ALT=\"C%2FN-1=%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2FN-1=%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29 ALIGN=MIDDLE  ALT=\"C%2FN-1=%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C-N%29%2FN=%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29 ALIGN=MIDDLE  ALT=\"%28C-N%29%2FN=%28%28C-No%29%2FNo%29%2Ae%5E%28-r%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28C-N%29%2FN%29%2A%28No%2F%28C-No%29%29=e%5E%28-r%2At%29 ALIGN=MIDDLE  ALT=\"%28%28C-N%29%2FN%29%2A%28No%2F%28C-No%29%29=e%5E%28-r%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That looks good because if we think of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=%28C-N%29%2FN ALIGN=MIDDLE  ALT=\"X=%28C-N%29%2FN\"   DISABLED_style= \"max-width:90%; height:auto;\" > as The relative increase to to get to C from N,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Xo=%28C-No%29%2FNo=%28450-150%29%2F150=300%2F150=2 ALIGN=MIDDLE  ALT=\"Xo=%28C-No%29%2FNo=%28450-150%29%2F150=300%2F150=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=No%2F%28C-No%29=1%2F2 ALIGN=MIDDLE  ALT=\"No%2F%28C-No%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28C-N%29%2FN%29%2A%28No%2F%28C-No%29%29=e%5E%28-r%2At%29 ALIGN=MIDDLE  ALT=\"%28%28C-N%29%2FN%29%2A%28No%2F%28C-No%29%29=e%5E%28-r%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be re-written as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=Xo%2Ae%5E%28-r%2At%29 ALIGN=MIDDLE  ALT=\"X=Xo%2Ae%5E%28-r%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%2FXo=e%5E%28-r%2At%29 ALIGN=MIDDLE  ALT=\"X%2FXo=e%5E%28-r%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which makes sense as exponential decay.<BR>\n" );
document.write( "Better yet, substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=No%2F%28C-No%29=1%2F2 ALIGN=MIDDLE  ALT=\"No%2F%28C-No%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28C-N%29%2FN%29%2A%281%2F2%29=e%5E%28-r%2At%29 ALIGN=MIDDLE  ALT=\"%28%28C-N%29%2FN%29%2A%281%2F2%29=e%5E%28-r%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C-N%29%2F%222+N%22=e%5E%28-r%2At%29 ALIGN=MIDDLE  ALT=\"%28C-N%29%2F%222+N%22=e%5E%28-r%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%28C-N%29%2F%222+N%22%29=-r%2At%29 ALIGN=MIDDLE  ALT=\"ln%28%28C-N%29%2F%222+N%22%29=-r%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=-%281%2Ft%29%2Aln%28%28C-N%29%2F%222+N%22%29 ALIGN=MIDDLE  ALT=\"r=-%281%2Ft%29%2Aln%28%28C-N%29%2F%222+N%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%281%2Ft%29%2Aln%282N%2F%28C-N%29%29 ALIGN=MIDDLE  ALT=\"r=%281%2Ft%29%2Aln%282N%2F%28C-N%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );