• Successful_Try543@feddit.org
      link
      fedilink
      arrow-up
      18
      ·
      6 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
        link
        fedilink
        arrow-up
        5
        ·
        6 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
          link
          fedilink
          arrow-up
          3
          ·
          edit-2
          6 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.