document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=282418>Question 282418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If your allowance was a penny doubled every day, how many days would it take for you to have over $1000.00? On which day would you have over %10000.00? how much money would you have on the 15th day? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207420 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=207420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If your allowance was a penny doubled every day, how many days would it take for you to have over $1000.00? On which day would you have over %10000.00? how much money would you have on the 15th day?<BR>\n" );
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document.write( "The total on the nth day is 2^n - 1 (cents)<BR>\n" );
document.write( "For $1000 and $10,000 (I assume that's what you meant) ignore the -$0.01.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5En+=+100000 ALIGN=MIDDLE  ALT=\"2%5En+=+100000\"   DISABLED_style= \"max-width:90%; height:auto;\" > in cents<BR>\n" );
document.write( "n*log(2) = log(100000) = 5<BR>\n" );
document.write( "n = 5/log(2) =~ 16.6 --> 17 days<BR>\n" );
document.write( "2^17 = 131,072 = $1310.72<BR>\n" );
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document.write( "Do the $10,000 the same way.<BR>\n" );
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document.write( "An alternative is to look at the powers of 2, if you dont' know them.<BR>\n" );
document.write( "$10,000 --> 1,000,000<BR>\n" );
document.write( "A lot of people recognize that 1 Meg = 2^20, which is close to 1,000,000 and the 64K (of RAM, eg) = 2^16.<BR>\n" );
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document.write( "1 Gig = 2^30 = 1073741824<BR>\n" );
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document.write( "I don't know what 1 terabyte (2^40) is from memory.<BR>\n" );
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document.write( "On day 15, you have 2^15 - 1 = 32767<BR>\n" );
document.write( "= $327.67\r<BR>\n" );
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