Brainsteem Mathematics Challenges - Steemit Voting Power
The Question
This is a mathematical question related to Steemit.
Your Voting Power starts at 100%. Every time you vote, your Voting Power decreases by 2% of the Voting Power you had before the vote. Your Voting Power is automatically replenished at a rate of 20% per 24 hours, up to a maximum of 100%. Imagine you cast all your votes in one hour every morning and you vote exactly 30 times every day.
After a few days, you notice that you start the morning with the same Voting Power you had the previous morning.
What is the percentage value of this steady-state Voting power?
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Solution via basic algebra:
p = p * .9830 + .2
p = .54548431... p + .2
.45451568... p = .2
p = .440028823... = 44.0028823... %
For practical everyday purposes, 44%.
I confirm: 44% x 0.98^30 ≈ 24% = 44%-20%
Not hard... but very relevant!
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