Exponential Decay Time Calculator
Calculate how long it takes for a quantity to decay to a target value. Input initial amount, decay rate, and target to find the time using our exponential decay calculator.
Understanding Exponential Decay
Exponential decay describes the decrease in quantity over time. It's modeled by the formula:
- N(t) is the quantity at time t
- N₀ is the initial quantity
- r is the decay rate (as a decimal, e.g., 0.05 for 5%)
- t is the time
Result:
Time to Reach Target Value:
Decay Visualization
Understanding Exponential Decay: A Quick Guide
Exponential decay is a process where a quantity decreases over time at a rate proportional to its current value. Think of it like this: if you have a cup of hot coffee, it cools down faster when it\'s very hot, and slower as it approaches room temperature. This calculator helps you find out how long it takes for something to decay from an initial amount to a target amount, given a decay rate. It's useful in various fields, from understanding radioactive decay in science to calculating depreciation in finance. Just input your starting amount, the percentage it decreases each time period, and your desired end amount to see how long it will take!