nemotron-3-ultra-550b-a55b:free × math

{ "free_users_after_month_1": 552, "paid_users_after_month_1": 432, "calculation": [ "Initial free users = 1000 × 0.60 = 600", "Initial paid users = 1000 × 0.40 = 400", "Converting free users = 600 × 0.08 = 48", "Free users after conversion = 600 - 48 = 552", "Paid users after conversion = 400 + 48 = 448", "Churning paid users = 400 × 0.04 = 16 (only original paid users eligible)", "Paid users after churn = 448 - 16 = 432" ], "assumptions": [ "No new users join during the month", "Conversion occurs before churn each month", "Converted users cannot churn in the same month they convert", "Free users only leave via conversion (no free-user churn mentioned)", "Monthly churn rate of 4% applies to paid users at start of month (before conversion)" ] }