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Discussion Starter #1
I'm writing about income distribution, and every time the wealth of a group doubles, the size of the group decreases with two-thirds.
So when there are 24,000 people that earn 400,000$....
24,000*1/3=8,000
400,000*2=800,000
There are 8,000 people that earn 800,000$.

I want to know the formula, so I can plot it in a graph and calculate stuff like "how many people earned more than 1,000,000' and 'how much does the richest guy earn'. Could you help me?

Thanks for the help! :D

I've posted this in the 'advice center' and the 'education & career talk' too. Sorry for the spam, but I really need an answer and I wonder where the
mathematicians are. INTJs, prove your intelligence, be the first to solve the problem! :D
 

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I'm writing about income distribution, and every time the wealth of a group doubles, the size of the group decreases with two-thirds.
So when there are 24,000 people that earn 400,000$....
24,000*1/3=8,000
400,000*2=800,000
There are 8,000 people that earn 800,000$.

I want to know the formula, so I can plot it in a graph and calculate stuff like "how many people earned more than 1,000,000' and 'how much does the richest guy earn'. Could you help me?

Thanks for the help! :D

I've posted this in the 'advice center' and the 'education & career talk' too. Sorry for the spam, but I really need an answer and I wonder where the
mathematicians are. INTJs, prove your intelligence, be the first to solve the problem! :D
I'm not sure if i'm being dumb or are you writing complete nonsense.
 

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I'm writing about income distribution, and every time the wealth of a group doubles, the size of the group decreases with two-thirds.
So when there are 24,000 people that earn 400,000$....
24,000*1/3=8,000
400,000*2=800,000
There are 8,000 people that earn 800,000$.

I want to know the formula, so I can plot it in a graph and calculate stuff like "how many people earned more than 1,000,000' and 'how much does the richest guy earn'. Could you help me?

Thanks for the help! :D

I've posted this in the 'advice center' and the 'education & career talk' too. Sorry for the spam, but I really need an answer and I wonder where the
mathematicians are. INTJs, prove your intelligence, be the first to solve the problem! :D
You can't find a formula unless you have something that is being computed. What you need to do is set your two variables into an equation that equals another value that is meaningful, let's say combined wealth (population * income).

In which case the equation function is:

CW(x) = 24000*(1/3)^x * 400,000*(2)^x
which reduces to
CW(x) = 9600000000*(2/3)^x (although this form isn't as useful if you want the individual values of population and income)

This is assuming 24,000 and 800,000 are your starting values, and x is the amount of iterations in either direction. So if you wanted to maximize it, which generally this sort of problem is, you'd take the derivative of the function with respect to x.
 

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Discussion Starter #4
You can't find a formula unless you have something that is being computed. What you need to do is set your two variables into an equation that equals another value that is meaningful, let's say combined wealth (population * income).

In which case the equation function is:

CW(x) = 24000*(1/3)^x * 400,000*(2)^x
which reduces to
CW(x) = 9600000000*(2/3)^x (although this form isn't as useful if you want the individual values of population and income)

This is assuming 24,000 and 800,000 are your starting values, and x is the amount of iterations in either direction. So if you wanted to maximize it, which generally this sort of problem is, you'd take the derivative of the function with respect to x.
Uhm...
I'd like to see the amount of people reaching a certain threshold on the x-axis, going from 24.000 to 1.
I'd like to see the threshold they reach on the y-axis, going from 400,000 to roughly 250,000,000.

Does that make sense? What formula should I use to be able to plot this?
And I'd like to calculate exactly how many people reach the 1,000,000 threshold, and how wealthy the 'last' person is, the highest threshold that's reached by one person.
 

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Well you have two equations both based on a variable t, time,(t is the x I used before, since you wanted to use X to represent population), which is the iterations. It's actually called a parametric equation.

x(t) = 24,000*(1/3)^t
y(t) = 400,000*(2)^t

So to determine the max value of Y when t is reduced to 1 or whatever you like, just set x(t)=1, solve for t, then plug that t value in for y(t) to determine the y value. That is all.
 
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