laguna-s-2.1:free × math · trial 1/2

{ "free_users_after_month_1": 368, "paid_users_after_month_1": 632, "calculation": [ "Initial free users: 1000 × 0.60 = 600", "Initial paid users: 1000 × 0.40 = 400", "Free users converting to paid: 600 × 0.08 = 48", "Free users after conversion: 600 − 48 = 552", "New paid users (converted) before churn: 48", "Existing paid users before churn: 400", "Churn applies only to existing paid users: 400 × 0.04 = 16", "Paid users after churn: 400 − 16 = 384", "Total paid users after month: 384 + 48 = 432", "Free users after month: 552", "Total users check: 552 + 432 = 984 (16 churned, no new users)" ], "assumptions": [ "Conversion happens before churn each month", "Converted users cannot churn in the same month they convert", "No new users join the product", "Churn rate applies only to existing paid users at the start of the month", "All percentages are exact and no rounding occurs during intermediate calculations" ] }