It depends on whether you count the first day in the 30 days.
If you have one cent and on the "first day" you have 2 cents, and as day 1 is equal to 21 then your value on day 30 is equal to 230 cents ($10,737,418.24)
This exponential function can be represented by the equation: f(x) = 0.01(2x) where x = the day number. If you plug in 30 for x, you get f(x) = 0.01×230 = 10,737,418.24
Here's a slower method of finding the answer:
Day 0 .01
Day 1 .02
Day 2 .04
Day 3 .08
Day 4 .16
Day 5 .32
Day 6 .64
Day 7 1.28
Day 8 2.56
Day 9 5.12
Day 10 10.24
Day 11 20.48
Day 12 40.96
Day 13 81.92
Day 14 163.84
Day 15 327.68
Day 16 655.36
Day 17 1,310.72
Day 18 2,621.44
Day 19 5,242.88
Day 20 10,485.76
Day 21 20,971.52
Day 22 41,943.04
Day 23 83,886.08
Day 24 167,772.16
Day 25 335,544.32
Day 26 671,088.64
Day 27 1,342,177.28
Day 28 2,684,354.56
Day 29 5,368,709.12
Day 30 10,737,418.24
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If you start with 1 penny and double your money every day for 30 days, you will have $10,737,418.24. This calculation is based on the concept of exponential growth, where the amount doubles each day. The formula to calculate the final amount is A = P x (2^n), where A is the final amount, P is the initial amount, and n is the number of days.
Well, isn't that a fun little thought experiment! If you start with just 1 penny and double it every day for 30 days, you would end up with over 5 million dollars. That's the magic of exponential growth, my friend! Just like painting, sometimes all it takes is a little bit each day to create something truly magnificent.
0.01×290 equals $1,237,940,039,285,380,274,899,124,224
SavingsIf you start with $0.00 and save a penny daily, you will have saved $3.65 in one year (or $3.66 in a leap year).
If you start with one penny on day 1, assuming it's not a leap year, you would end the year with $3.65
that's two raised to 60... use a scientific calculator...
If you start with 2.5 and double the number you have 9 times,you land on 1,280 .