CALCULATOR
Continuous Exponential Growth from Supplied Rate and Time Calculator
Continuous Exponential Growth from Supplied Rate and Time. Example: Initial: 100 units, Rate: 0.1 1/time, Time: 5 time gives 164.87212707 units. Supplied constant nonnegative rate per selected abstract time unit; elapsed time same unit. No fitted rates, forecasts or biological/financial guarantees. Only this original stated job is proposed, not full historical source coverage. Input domains and o
Supplied constant nonnegative rate per selected abstract time unit; elapsed time same unit. No fitted rates, forecasts or biological/financial guarantees. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Solve constant proportional growth derivative y′=rate y.
Accepted inputs: Initial: 0.001 to 100,000 units; Rate: 0 to 1 1/time; Time: 0 to 20 time.
Continuous Exponential Growth from Supplied Rate and Time
How the calculation works
value=initial exp(rate×time)
Worked example
With initial 100 units, rate 0.1 1/time, time 5 time, continuous exponential growth from supplied rate and time is 164.8721271 units.
Assumptions and limits
Supplied constant nonnegative rate per selected abstract time unit; elapsed time same unit. No fitted rates, forecasts or biological/financial guarantees. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Solve constant proportional growth derivative y′=rate y.