document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113754>Question 113754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> with the compound interest formula:\r<BR>\n" );
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document.write( "A=amount, P=principle, r=annual interest rate, n=# of times it is compounded per year, and t=# of years so that: A=P(1+ r/n)^nt, find the length of time it takes for the investment to increase M fold (M=2 double, M=3 triple), for time in terms of M,r,and n </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82780 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82780\">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=A=P%281%2B+r%2Fn%29%5Ent ALIGN=MIDDLE  ALT=\"A=P%281%2B+r%2Fn%29%5Ent\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MP=P%281%2B+r%2Fn%29%5Ent ALIGN=MIDDLE  ALT=\"MP=P%281%2B+r%2Fn%29%5Ent\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "solve for t<BR>\n" );
document.write( "divide both sides by P<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M+=+%281%2B+r%2Fn%29%5Ent ALIGN=MIDDLE  ALT=\"M+=+%281%2B+r%2Fn%29%5Ent\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "take log of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28M%29+=+nt%2Alog%281+%2B+r%2Fn%29 ALIGN=MIDDLE  ALT=\"log%28M%29+=+nt%2Alog%281+%2B+r%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+log%28M%29+%2F+%28n%2Alog%281+%2B+r%2Fn%29%29 ALIGN=MIDDLE  ALT=\"t+=+log%28M%29+%2F+%28n%2Alog%281+%2B+r%2Fn%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer   </SPAN>\n" );
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