Similar to how bacteria populations multiply exponentially over fixed time intervals, compound interest builds upon previously accumulated earnings.

The total amount is determined using the discrete exponential growth formula $A = P \left(1 + \frac{R}{100}\right)^n$, where $P$ is the principal sum, $R$ is the periodic interest rate, and $n$ is the total number of compounding intervals.

Always verify whether the compounding period is annual, half-yearly, or quarterly to correctly adjust both the rate and the time exponent.