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

An infrastructure SaaS has 1,000 tenant accounts on the free and paid tiers.

• 60% of tenants are on the free plan.
• Of free-plan tenants, 8% convert to paid each month.
• Paid tenants have a 4% monthly churn rate.
• No new tenants join.
• Conversion happens before churn each month.
• A converted tenant cannot churn during the same month they convert.

Question: After one month, how many free tenants and paid tenants are expected to remain? Report them in the fields free_users_after_month_1 and paid_users_after_month_1 (tenants mapped to those field names for the validator).

Show the calculation clearly. Do not round intermediate values.

Output format: { "free_users_after_month_1": number, "paid_users_after_month_1": number, "calculation": ["...", "...", "..."], "assumptions": ["..."] }