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    ROLCAM's Avatar
    ROLCAM Posts: 1,420, Reputation: 23
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    #1

    Mar 28, 2009, 03:46 AM
    More mathematics fun .
    If you accepted a deal that has you earn a penny on the first day, and earn doublings for the next 30 days, how much would you have in your bank account by the 30th day?
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    adam_89 Posts: 1,866, Reputation: 280
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    #2

    Mar 28, 2009, 04:25 AM

    That is a fun one. I was always asked would you rather have a million dollars or a penny doubled everyday for a month. Instinctively you would say the million dollars, but actually the Penny doubled everyday is much larger I will get you the number in a sec.
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    #3

    Mar 28, 2009, 04:30 AM
    The answer is $5,368,709.12 I will show the order in just a sec
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    #4

    Mar 28, 2009, 04:37 AM
    Day 1:$0.01
    Day 2:$0.02
    Day 3:$0.04
    Day 4:$0.08
    Day 5:$0.16
    Day 6:$0.32
    Day 7:$0.64
    Day 8:$1.28
    Day 9:$2.56
    Day 10:$ 5.12
    Day 11:$10.24
    Day 12:$20.48
    Day 13:$40.96
    Day 14:$81.92
    Day 15:$163.84
    Day 16:$327.68
    Day 17:$655.36
    Day 18:$1,310.72
    Day 19:$2,621.44
    Day 20:$5,242.88
    Day 21:$10,485.76
    Day 22:$20,971.52
    Day 23:$41,943.04
    Day 24:$83,886.08
    Day 25:$167,772.16
    Day 26:$335,544.32
    Day 27:$671,088.64
    Day 28:$1,342,177.28
    Day 29:$2,684,354.56
    Day 30:$5,368,709.12
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    #5

    Mar 28, 2009, 06:23 AM

    What do you mean Excel is very helpful?
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    galactus Posts: 2,271, Reputation: 282
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    #6

    Mar 28, 2009, 06:43 AM
    Just that, generate them with Excel. Use 2^N and drag it down
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    #7

    Mar 28, 2009, 08:48 AM
    Quote Originally Posted by galactus View Post
    Just that, generate them with Excel. Use 2^N and drag it down
    Ok, I believe you are referring to Microsoft Excel? The formulas that you use to quickly add things sometimes? I didn't think about that. I used a piece of paper and a calculator for most of it. LOL
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    #8

    Mar 28, 2009, 05:16 PM

    Take note that

    We use to the 29th power because of 2^0=1 on the first day.
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    #9

    Mar 30, 2009, 07:30 AM

    Ok, I am not disagreeing with you or anything, I was just saying that I didn't use that. Sorry for any misunderstandings.
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    #10

    Mar 30, 2009, 07:42 AM
    That's fine. You're method was good. Just 'brute force', as they say.:)
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    #11

    Mar 30, 2009, 08:36 AM

    Ok, thank you.
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