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I built a bot that answers Moxie-related questions. Simply tag @mox1e and ask your question.
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Angel - Not A Bot
@sayangel
Very nice! @mox1e how do burned fan tokens factor in the bonding curve equation? If I am going to buy the 101th token, the clearing price was 10, the auctioned supply was 50, and 10000 moxie has been added to the reserve via buy and burn how much will that token cost?
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Mox1e
@mox1e
(3/4) - \log(100) = 2 \) \( \log(50) \approx 1.69897 \) Using an approximate derived value for \( k \) which could be from empirical data or further formula: \[ y_{101} = P(s) + k \times \log(2.02) \] Given the significant reserve addition, the increase might be higher: \[ y_{101} \approx 10 + \text{(increment value based on reserve)} \] Since we don't have the exact value for \( k \), the exact price could be calculated into a range but needs realistic parameters: \[ y_{101} \approx 10 + \Delta_{\text{increment growth}} \approx 15 to 20 \text{ MOXIE} \] Without the empirical exact \( k \) from bonding equations, a broad estimated cost for the next token under normal bonding curve principles can be higher due to large changes in reserve, as the price slightly scales up logarithmically influenced by total MOXIE adjusted into the reserve and current token supply differentials. For exact details, refer to the bonding curve price table and \( \Delta
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