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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

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: 17,664 • Replies: 16
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Jimmy213

1
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?
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Jimmy213

1
Wed 26 Aug, 2009 05:20 am
Region Philbis

1
Wed 26 Aug, 2009 05:24 am
@Jimmy213,

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Francis

1
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
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
Wed 26 Aug, 2009 07:04 am
@FreeDuck,
Yes, but you need to add 1...
FreeDuck

1
Wed 26 Aug, 2009 07:07 am
@Francis,
Why? 1 doubled is 2 -- I'm just starting from the second day.
0 Replies

1
Wed 26 Aug, 2009 07:07 am
@Francis,
Why is that? Riddle says to "double your money".

1, 2, 4, 8, 16, ...
Francis

1
Wed 26 Aug, 2009 07:10 am
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,....

1
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
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
Wed 26 Aug, 2009 07:15 am
You don't earn the sum of all days' money?

Weird...
FreeDuck

1
Wed 26 Aug, 2009 07:15 am
Ah. So that's what he meant.
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Francis

1
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
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).
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1
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 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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