document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=822530>Question 822530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5  years ago Sandy started paying R 200.00 per month into a retirement fund. She  has increased her payment by 10% every year. what is the total amount of money that sandy has paid into the fund so far? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516807 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=516807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1st year<BR>\n" );
document.write( "12*200=2400<BR>\n" );
document.write( "2nd year<BR>\n" );
document.write( "1.1*200=220<BR>\n" );
document.write( "12*220=2640<BR>\n" );
document.write( "3rd year<BR>\n" );
document.write( "1.1*220=242<BR>\n" );
document.write( "242*12=2904<BR>\n" );
document.write( "4th year<BR>\n" );
document.write( "1.1*242=266.20<BR>\n" );
document.write( "12*266.20=3194.40<BR>\n" );
document.write( "5th year 292.82<BR>\n" );
document.write( "12*292.82=3513.84<BR>\n" );
document.write( "2400+2640+2904+3194.40+3513.84=14652.24 total\r<BR>\n" );
document.write( "\n" );
document.write( "another way<BR>\n" );
document.write( "2400*1.1=2640<BR>\n" );
document.write( "2640*1.1=2904<BR>\n" );
document.write( "2904*1.1=3194.40<BR>\n" );
document.write( "3194.40*1.1=3513.84<BR>\n" );
document.write( "2400+2640+2904+3194.40+3513.84=14652.24 total<BR>\n" );
document.write( "another way <BR>\n" );
document.write( "Tn = t1 * r^(n - 1)<BR>\n" );
document.write( "find the nth number of a geometric sequence<BR>\n" );
document.write( "where t1 is the starting amount<BR>\n" );
document.write( "r is the ratio and <BR>\n" );
document.write( "n is the number of times/years<BR>\n" );
document.write( "2400 * 1.1^(0)=2400<BR>\n" );
document.write( "2400 * 1.1^(1)=2640<BR>\n" );
document.write( "2400 * 1.1^(2)=2904<BR>\n" );
document.write( "2400 * 1.1^(3)=3194.40<BR>\n" );
document.write( "2400 * 1.1^(4)=3513.84<BR>\n" );
document.write( "2400+2640+2904+3194.40+3513.84=14652.24 total\r<BR>\n" );
document.write( "\n" );
document.write( "and finally the fastest way<BR>\n" );
document.write( "the sum of  a geometric sequence<BR>\n" );
document.write( "where t1 is the starting amount<BR>\n" );
document.write( "r is the ratio and <BR>\n" );
document.write( "n is the number of times or years<BR>\n" );
document.write( "S is the sum<BR>\n" );
document.write( "S=t1*(1 - r^n)/(1 - r)<BR>\n" );
document.write( "S=2400*(1 - 1.1^5)/(1 - 1.1)<BR>\n" );
document.write( "S = 14652.24<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );