document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163727>Question 1163727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hello my friend !! I am in need of help.\r<BR>\n" );
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document.write( "John.  will provide a service for a friend for 45 days. Which of the options below is most advantageous to him?\r<BR>\n" );
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document.write( "1) receive 20 trillion of dollars at the end or\r<BR>\n" );
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document.write( "2) one cent on the first day, two cents on the second day, four cents on the third day, eight cents on the fourth day ... until completing the 45 days.\r<BR>\n" );
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document.write( "Use ONLY exponentials and / or logarithms. (do not use geometric progression)\r<BR>\n" );
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document.write( "I thought that way\r<BR>\n" );
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document.write( "0,01.2^0\r<BR>\n" );
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document.write( "0,01.2^1\r<BR>\n" );
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document.write( "...\r<BR>\n" );
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document.write( "0,01.2^44\r<BR>\n" );
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document.write( "= 0,01.2^0 + 0,01.2^1 + ... + 0,01.2^44)\r<BR>\n" );
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document.write( "=0,01(2^45-1) ????? (do not use geometric progression)\r<BR>\n" );
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document.write( "and then?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787902 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=787902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sum_{i=0}^n\,2^i\ =\  2^{n+1}\ - 1\">\r<BR>\n" );
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document.write( "Using a zero-based count, the payment on the 45th day would be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2^{44}\"> so you want:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sum_{i=0}^{44}\,2^i\ =\  2^{45}\ - 1\">\r<BR>\n" );
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document.write( "Which comes to 35.18 <b>trillion</b> CENTS which is 351.8 <b>billion</b> DOLLARS.  Take the 20 trillion dollars.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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