document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711074>Question 711074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many years will it take for money at least quadruple at 12% compounded semi-annually?<BR>\n" );
document.write( "Round UP your answer for n to the next whole number then convert to years to one decimal place. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437277 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=437277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In how many years will it take for money at least quadruple at 12% compounded semi-annually?<BR>\n" );
document.write( "Round UP your answer for n to the next whole number then convert to years to one decimal place.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Compound Interest Formula: A=P(1+i)^n, P=initial investment, i=interest rate per period, n=number of periods, A=amt after n periods.<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "A/P=4<BR>\n" );
document.write( "i=.12/2=.06<BR>\n" );
document.write( "n=number of compound periods<BR>\n" );
document.write( "..<BR>\n" );
document.write( "4=(1+.06)^n<BR>\n" );
document.write( "4=(1.06)^n<BR>\n" );
document.write( "log(4)=nlog(1.06)<BR>\n" );
document.write( "n=log(4)/log(1.06)<BR>\n" );
document.write( "n&#8776;23.79 compound periods<BR>\n" );
document.write( "or<BR>\n" );
document.write( "n&#8776;23.79/2&#8776;11.9 yrs </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );