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If I started with a penny, and doubled it every day for a year?

How much money would I have if I began on day one with a penny and doubled the amount every day for a year? Example:

Day 1: $.01

Day 2: $.02

Day 3: $.04

Day 4: $.08

Day 5: $.16

Day 6: $.32

Day 7: $.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

9 Answers

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  • Awms A
    Lv 7
    8 years ago
    Favorite Answer

    At day 365, you have

    2^364 / 100,

    or about

    3.75 * 10^107

    dollars.

    Just to point out _how_ absurd this number is, this site

    http://www.fnal.gov/pub/inquiring/questions/atoms....

    gives a upper estimate for the number of atoms in the Earth as

    3.6 * 10^51

    That is, not only is it more dollars than there are atoms in Earth, but if each atom were another Earth with all the mass as in the original Earth, then you would _still_ have more dollars than the total number of atoms.

  • 8 years ago

    Day 1 = 2^0

    Day 2= 2^1

    Day 3= 2^2

    Day 365 = 2^364

    In leap year day 366 = 2^365

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  • Anonymous
    8 years ago

    Year = 365 days ---> A = 0.01(2)^364 = ....calculator

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