00:01
So first here, let's talk about the rule of 70.
00:02
The rule of 70 states, if you're growing at a certain rate, let's call that x percent, it tells you that you're doubling in 70 over x years.
00:18
That's it.
00:19
If you're growing at x percent per year, you're going to double in 70 percent years.
00:24
So here, we can use the rule of 70 to compute the difference.
00:31
Gdp per capita after a hundred years, right? a hundred years.
00:36
So that's, that looks a little bit tricky at first, but it's going to actually come out kind of nice because when we think of a, the doubling time is equal to 70 over its growth rate.
00:52
And for a, that growth rate is 2 .8%.
00:55
And you might say that looks like garbage.
00:57
But remember that 2 .8 is kind of related to seven, seven times.
01:01
Four right so when you plug that into your calculator you get 25 years to double so if a is going to go to take 25 years to double a is going to start at 50 ,000 and over 100 years it's going to double four times right it will double each 25 years so that means we're going to do 50 ,000 times two to the power of four right it's doubling four times, right? so you've got a first double, a second double, a third double, so it goes from 50, first double is 100, second double is 200, third double is 400, and fourth double is 800...