Two Questions

Discussion in 'Community Discussion' started by asherman13, Feb 23, 2006.

  1. asherman13 macrumors 6502a

    asherman13

    Joined:
    Jul 31, 2005
    Location:
    SF Bay Area, CA
    #1
    These questions have always stimulated my mind:

    If you give somebody a penny for their thoughts, and they give you their two cents, where does the extra cent go?

    And can I put it in a bank account to accumulate millions of dollars over the years?
     
  2. kretzy macrumors 604

    kretzy

    Joined:
    Sep 11, 2004
    Location:
    Canberra, Australia
  3. grapes911 Moderator emeritus

    grapes911

    Joined:
    Jul 28, 2003
    Location:
    Citizens Bank Park
    #3
    I'll give you are quarter if you never post anything this ridiculous again.

    [​IMG]
     
  4. asherman13 thread starter macrumors 6502a

    asherman13

    Joined:
    Jul 31, 2005
    Location:
    SF Bay Area, CA
  5. Doctor Q Administrator

    Doctor Q

    Staff Member

    Joined:
    Sep 19, 2002
    Location:
    Los Angeles
    #5
    I'll tell you the answer if you do one simple thing for me first:

    Give me a penny today, double that tomorrow, double that the next day, and so on for 2 months.

    That's all. I'll even give you $100 as a reward!
     
  6. w_parietti22 macrumors 68020

    Joined:
    Apr 16, 2005
    Location:
    Seattle, WA
    #6
    I heard somewhere that if you stacked a penny on a chess board in one square and then doubled it in the next square (2 pennies) and then doubled it again (4 pennies) and so on that you would end up with more money than the US treasurery or something like that. I think it was in some math book.
     
  7. asherman13 thread starter macrumors 6502a

    asherman13

    Joined:
    Jul 31, 2005
    Location:
    SF Bay Area, CA
    #7
    I think that would amount to 2^60 or so pennies, which is a lot more than $100. If only I was on a Mac, then I'd hit F12 and find out what that is. I hate seven-year-old Dell Inspirons.

    I also think that that originated with a peasant and grains of rice? Something like that...

    EDIT Are we talking cumulative here, like 2 + 4 + 8 + 16 + 32, etc? 'Cause then I'd have to bust out my calculator...
     
  8. Chundles macrumors G4

    Chundles

    Joined:
    Jul 4, 2005
    #8
    11,529.215046 TRILLION dollars!!!!!

    Holy snapping ducks!!! That's a ****load of cash!!!

    EDIT: Hang on, that's 2^60.

    It's:

    184,467 Trillion dollars!!!

    Just put a formula into excel, doubling the previous number, starting at "1" and ending 64 operations later, then summed the lot.

    Then I divided by 100 to give the dollar amount, then by 1,000,000,000,000 to give the amount in trillions.
     
  9. asherman13 thread starter macrumors 6502a

    asherman13

    Joined:
    Jul 31, 2005
    Location:
    SF Bay Area, CA
    #9
    Should the right amount be 2^60 + 2^59 + 2^58 + .... + 2^2 + 2^1 + 2^0 (1) ?

    Don't forget to divide by 100!
     
  10. xsedrinam macrumors 601

    xsedrinam

    Joined:
    Oct 21, 2004
    #10
    I'd pick July and August for the 62 maximum days. My little calculator couldn't stand the pressure and went in to "error" mode, but I suspect one would fare as well or better than the Nebraska meat housers on that little venture. ;)
     
  11. Deepdale macrumors 68000

    Deepdale

    Joined:
    May 4, 2005
    Location:
    New York
    #11
    Cheap tipper. :)
     
  12. Doctor Q Administrator

    Doctor Q

    Staff Member

    Joined:
    Sep 19, 2002
    Location:
    Los Angeles
    #12
    OK, I'll throw in a Rubik's Cube.
     
  13. balamw Moderator

    balamw

    Staff Member

    Joined:
    Aug 16, 2005
    Location:
    New England
    #13
    NOTE: The chess board has 8x8 = 64 squares, so it's essentially the same as 62 days. Also note that Sum(2^(0..n))=2^(n+1)-1, so you don't need to actually do the sum to get the answer.

    You can see this rule in action if you consider binary representation of numbers. 1+2+4+8+16+32+64+128 = 255 = 0b1111 1111. 2^8 -1 = 256 -1.

    Now extend this to 62 or 64 binary 1s!:eek:

    B
     
  14. Deepdale macrumors 68000

    Deepdale

    Joined:
    May 4, 2005
    Location:
    New York
    #14
    Great - another paperweight. A few weeks ago on an episode of "Beauty and the Geek 2," there was a young guy who had been one of the recordholders for solving that. He demonstrated by holding it behind his back and within 15 seconds or so it was all done. Even the "beauties" were in awe!
     
  15. robbieduncan Moderator emeritus

    robbieduncan

    Joined:
    Jul 24, 2002
    Location:
    London
    #15
    OK. First you have to find a chess board capable of supporting the weight of all the pennies. And then some way of stopping them from all falling over. Then I'll go and get all my pennies :D
     

Share This Page