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If I gave you one dollar on the first day of the month, then doubled your money everyday. How much w

 
 
Reply Wed 26 Aug, 2009 05:18 am
Just want to know if my answer is correct. Cheers
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Type: Question • Score: 1 • Views: 8,629 • Replies: 16
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Jimmy213
 
  1  
Reply Wed 26 Aug, 2009 05:19 am
If I gave you one dollar on the first day of the month, then doubled your money everyday. How much would you have at the end of the month axproximitly?
0 Replies
 
Jimmy213
 
  1  
Reply Wed 26 Aug, 2009 05:20 am
Just wanting know your answer. Cheers
Region Philbis
 
  1  
Reply Wed 26 Aug, 2009 05:24 am
@Jimmy213,

what's your answer?
0 Replies
 
Francis
 
  1  
Reply Wed 26 Aug, 2009 05:51 am
@Jimmy213,
$ 536,870,913.00 for a 30 days month.

$1,073,741,825.00 for a 31 days month.
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FreeDuck
 
  1  
Reply Wed 26 Aug, 2009 06:34 am
2 to the (n-1) power where n is the number of days in the month
Francis
 
  1  
Reply Wed 26 Aug, 2009 07:04 am
@FreeDuck,
Yes, but you need to add 1...
FreeDuck
 
  1  
Reply Wed 26 Aug, 2009 07:07 am
@Francis,
Why? 1 doubled is 2 -- I'm just starting from the second day.
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DrewDad
 
  1  
Reply Wed 26 Aug, 2009 07:07 am
@Francis,
Why is that? Riddle says to "double your money".

1, 2, 4, 8, 16, ...
Francis
 
  1  
Reply Wed 26 Aug, 2009 07:10 am
@DrewDad,
Think again: first day you don't double, you just give a dollar.

You double the second day, meaning you give another dollar..

1, 1, 2, 4, 8,....
DrewDad
 
  1  
Reply Wed 26 Aug, 2009 07:12 am
@Francis,
Francis wrote:

Think again: first day you don't double, you just give a dollar.

You double the second day, meaning you give another dollar..

1, 1, 2, 4, 8,....

That's how much money you earn but if you sum it, it comes to an even number.
FreeDuck
 
  1  
Reply Wed 26 Aug, 2009 07:14 am
@Francis,
I don't think that's what it says. It says double your money ever day after the first. Double a dollar is 2 dollars. 1,2,4,8,... like Drewdad said.
Francis
 
  1  
Reply Wed 26 Aug, 2009 07:15 am
@DrewDad,
You don't earn the sum of all days' money?

Weird...
FreeDuck
 
  1  
Reply Wed 26 Aug, 2009 07:15 am
@DrewDad,
Ah. So that's what he meant.
0 Replies
 
Francis
 
  1  
Reply Wed 26 Aug, 2009 07:17 am
@FreeDuck,
However, you were given a dollar the first day..

But who gives a damn about one dollar?
FreeDuck
 
  1  
Reply Wed 26 Aug, 2009 07:23 am
@Francis,
I know. 2 to the 0 power is 1. The first day is 2 to the 0, the second day is 2 to the 1, the third is 2 to the 2, etc... so that by the 30th (or 31st, or 28th or 29th) you have 2 to the (30-1) (n-1 where n is the number of days).
0 Replies
 
DrewDad
 
  1  
Reply Wed 26 Aug, 2009 07:29 am
@Francis,
Not sure what you mean, Francis.

The total amount of money you'd have at the end of each day would be double the amount you had the day before. That always ends up an even number, except for the first day.

Doesn't matter if you're given the money or you earn it.

Day 1: Start with $1.
Day 2: Earn/Receive $1, end with $2
Day 3: Earn/Receive $2, end with $4
Day 4: Earn/Receive $4, end with $8
...
Day 30: Earn/Receive $268,435,456, end with $536,870,912
0 Replies
 
 

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