00:01
A lepragon places a magic penny under a girl's pillow.
00:04
The penny magically doubles every night.
00:06
We are trying to figure out how long it takes until it reaches $22 million.
00:10
To help, i'm going to model this with an exponential function.
00:14
The initial amount is worth 0 .01, because that's what a penny's worth is.
00:18
0 .01.
00:20
The amount of that is doubling every night, and then we have x.
00:24
So the number of nights is going to be x.
00:26
The amount of money is y.
00:32
So the goal here is to get to $22 trillion.
00:34
So that is 22 followed by 12 zeros.
00:40
Okay.
00:41
And that is equal to 0 .01 multiplied by 2 to the x power.
00:47
Okay.
00:48
So that is $22 trillion there.
00:52
Now this next step i'm going to do is i'm going to divide by 0 .01...