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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