I ate one egg yesterday. Today I ate two. Will I eat 74 eggs this Sunday?

You're right and I'm mistyping. Anyway, point is, there's no way to know. The math is correct, in that if you extrapolate like that, you get those results, but why would you think the market will follow that logic?

It doesn't work that way.

If it just about doubles every month (which it has so far to get from .06 to 19 in 8 months that would mean almost a million percent gain), I think.

Month         AGR   824578%
1   0.06              MGR   127%
2   0.1362         
3   0.309174         
4   0.70182498         
5   1.593142705         
6   3.616433939         
7   8.209305043         
8   18.63512245         
9   42.30172795         
10   96.02492245         
11   217.976574         
12   494.8068229         

Does this look about right?

Of course, note that I don't believe that this is a realistic model.

don't laugh.   several early adopters got btc at $.003 for a 633,333% rise given a 19 btc/shr.

Bruce, the growth in price has been parabolic and won't continue like that forever or even for the intermediate term.  no one knows for sure tho

You asked a very simple question.  Not sure why everyone misunderstood!

In 8 months: 20/0.06 = 33333% (or 33332% GAIN)
That's a monthly compounded rate of:

0.06 x (1+ n ) ^ 8 = 20
or
n= (20 0.06 ) ^ (1/8) -1
n=1.06, or a 106% gain every month

In other words, your value is 206% of last month's value (or approximately doubling every month.)

Proof:  0.06 * 2.06 ^ 8 = 20

so to answer your question, doubling every month, for a year....  
2.06 ^ 12 = 5839, which is 583,900%

You were off by a factor of 10.

**note, I did monthly compounding.  Continuous compounding will yield a different answer, but pretty close.**

Awesome.  Thanks!  You guys rock!   

@jerfelix     Can I quote you on http://BitcoinMe.com ?

Sure.  I did the math pretty quickly, but I think I got it right.
It'd be embarrassing if I got it wrong. 
I have a reputation to uphold, as if I know something about compound interest!

I can eat 50 eggs.

Your math looks correct, but your logic can be questioned.
Past performance is not necessarily an indicator of future success, but the 8 month average gain has been about 2.45% gain per day.  (This is still very respectable, but nowhere near the 10% per day that you predicted.)  At that rate, it will take 190.3 days for you to get 100x gains.

math:
past 8 months it went from .06 to 20 (approx).  So 20/.06 = 333.33
so that's a compounded average daily gain of 2.45%  (333.33 ^ ( 1 240 ), which is 1.0245, or a 2.45% gain.
it will take you 190.3 days at that rate:  log( 100 ) log ( 1.0245 ), which is 190.3


On the other hand, if we hit a knee in the curve, then 49 days might be correct.  Who knows!
You nearly doubled your money; you should be happy, and get out.

Sorry, it was a poorly worded joke.