document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851560>Question 851560</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi in the formula A=P(1+i)^N the formula for compound interest how do you find what N equals with out having to guess and check. \r<BR>\n" );
document.write( "\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Lachlan  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #512832 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=512832\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are you given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+ ALIGN=MIDDLE  ALT=\"+A+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+ ALIGN=MIDDLE  ALT=\"+P+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+i+ ALIGN=MIDDLE  ALT=\"+i+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?<BR>\n" );
document.write( "Say they are given. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+2000+ ALIGN=MIDDLE  ALT=\"+A+=+2000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+500+ ALIGN=MIDDLE  ALT=\"+P+=+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+i+=+.06+ ALIGN=MIDDLE  ALT=\"+i+=+.06+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You are asked to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N+ ALIGN=MIDDLE  ALT=\"+N+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+P%2A%28+1+%2B+i+%29%5EN+ ALIGN=MIDDLE  ALT=\"+A+=+P%2A%28+1+%2B+i+%29%5EN+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2000+=+500%2A%28+1+%2B+.06+%29%5EN+ ALIGN=MIDDLE  ALT=\"+2000+=+500%2A%28+1+%2B+.06+%29%5EN+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500+ ALIGN=MIDDLE  ALT=\"+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+=+1.06%5EN+ ALIGN=MIDDLE  ALT=\"+4+=+1.06%5EN+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you take the log of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%284%29+=+log%28%28+1.06%5EN+%29%29+ ALIGN=MIDDLE  ALT=\"+log%284%29+=+log%28%28+1.06%5EN+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%284%29+=+N%2Alog%28%28+1.06+%29%29+ ALIGN=MIDDLE  ALT=\"+log%284%29+=+N%2Alog%28%28+1.06+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N+=+1og%284%29+%2F+log%28%28+1.06+%29%29+ ALIGN=MIDDLE  ALT=\"+N+=+1og%284%29+%2F+log%28%28+1.06+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N+=+.6021+%2F+.0253+ ALIGN=MIDDLE  ALT=\"+N+=+.6021+%2F+.0253+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N+=+23.8+ ALIGN=MIDDLE  ALT=\"+N+=+23.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, it takes 24 yrs ( rounded off ) for $500<BR>\n" );
document.write( "invested @ 6%, compounded annually to<BR>\n" );
document.write( "become $2,000<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2000+=+500%2A%28+1+%2B+.06+%29%5EN+ ALIGN=MIDDLE  ALT=\"+2000+=+500%2A%28+1+%2B+.06+%29%5EN+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2000+=+500%2A%28+1+%2B+.06+%29%5E24+ ALIGN=MIDDLE  ALT=\"+2000+=+500%2A%28+1+%2B+.06+%29%5E24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+=+1.06%5E23.8+ ALIGN=MIDDLE  ALT=\"+4+=+1.06%5E23.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By my calculator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+=+4.002+ ALIGN=MIDDLE  ALT=\"+4+=+4.002+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "close enough </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );