• Successful_Try543@feddit.org
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    19 days ago

    Initially, the fine wasn’t that large. However, the exponential increase kicks hard.

    The court imposed a fine of 100 thousand rubles ($1,025) per day, with the total fine doubling every week.

    • bizarroland@fedia.io
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      19 days ago

      It’s an interesting formula. Exponential and logarithmic I think?

      I’m not a super great at math terms person

      14k first week 42k the second 98k the third 210k 434k 882k 1778k…

      • FundMECFSResearch@lemmy.blahaj.zone
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        19 days ago

        EDIT: I’m stupid and did it with the fine squaring every week instead of doubling and I’m too lazy to recalculate so ignore this

        w1 = (100’000 x 7)2

        w2 = (100’000 x 7 + w1)2

        wn = (100’000 x 7 + wn-1)2

        It looks like it’s impossible to find a true function for wn that depens only on n.

        But we can approximate it with:

        w_n = C^(2^n) 
        

        where C is the money owed at the end of the first week.

        So the approximate formula for how much is owned at the end of the nth week is.

        w_n = (4.9 * 10^11)^(2^(n-1))
        

        where n is the number of weeks since the fine was issued.

        In truth wn will be larger than said number but it’s a decent lower bounds for approximation and it should be accurate to within around a couple percent.

        i did this calculation in rubles but you can just replace 100’000 by 1000 if you wish USD.