The compound interest formula
A = P(1 + r/n)^(nt). P is principal, r the annual rate, n the compounding periods per year, and t the number of years. The more often interest compounds, the faster the balance grows.
Simple vs. compound interest
Simple interest is earned only on the principal; compound interest is earned on the principal plus all prior interest. Over long horizons, compounding dominates, the heart of the time value of money.
Why it matters for business
Compounding underlies discounting, NPV, and growth math. Internalizing it makes finance cases far more intuitive.