claude-sonnet-5 × math

{ "free_users_after_month_1": 552, "paid_users_after_month_1": 432, "calculation": [ "Initial free users = 60% of 1000 = 600", "Initial paid users = 40% of 1000 = 400", "Conversions from free to paid = 8% of 600 = 48", "Free users after conversion = 600 - 48 = 552", "Paid users after conversion (before churn) = 400 + 48 = 448", "Churn applies only to the original 400 paid users (converted users cannot churn same month) = 4% of 400 = 16", "Paid users after churn = 400 - 16 + 48 (new converts, unaffected by churn) = 432", "Final free users = 552", "Final paid users = 432" ], "assumptions": [ "Percentages are applied to exact (unrounded) user counts each step.", "Churned users leave the system entirely (total user count decreases).", "Conversion and churn rates apply only to the respective user groups (free-to-paid conversion from free users; churn from paid users).", "No new users join the platform during the month.", "Users who convert this month are excluded from the churn calculation for the same month, per the problem statement." ] }