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Comment by eterm

This really overcomplicates the mathematics.

Steady state implies Leavers = Joiners.

If 100 people join each month then you'll have steady state when there are 100 leavers, i.e. when 50% of N is 100. N * 50% = 100 solves to N = 200.

In general with X% attrition and Y people joining you'll have a steady number of subscribers N using the formula

N * (1 - X) + Y = N

Which can be rearranged to N * X = Y.

parent eterm 9 years ago

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