In-depth mathematical breakdowns, engineering guides, and unit economics analyses supporting our interactive calculators and software systems.
Learn how mortgage amortization schedules work, how monthly payments split between principal and interest, and calculate your exact payoff timeline with formulas and worked examples.
A complete engineering guide to calculating LLM token costs across prompt context, generation tokens, cache hits, and high-concurrency production workloads.
Learn how to calculate monthly recurring revenue (MRR) with the standard formula, component breakdown, and worked examples.
Learn how to calculate customer churn rate with the standard formula, customer vs revenue churn distinction, and worked examples.
Learn how to calculate customer acquisition cost (CAC) with the standard formula, fully-loaded vs blended CAC, and worked examples.
Learn how to calculate customer lifetime value (CLV/LTV) with the gross profit formula, worked examples, and how CLV connects to CAC.
Learn how to calculate break-even point in both units and revenue, understand contribution margin, and work through practical examples.
Learn how to calculate startup burn rate and cash runway with the standard formulas, gross vs net burn distinction, and worked examples.
Learn how to calculate and interpret the LTV:CAC ratio, understand the 3:1 benchmark, and work through hypothetical examples for SaaS unit economics.
Learn how to calculate gross profit margin and markup, understand the difference between margin and markup, and work through practical examples.