UnitConverter.net UnitConverter
Home / Math Calculators / Exponential Growth Calculator

Exponential Growth Calculator

Enter the initial value x0, growth rate r and time interval t and press the Calculate button:

Enter initial value (x0):  
Enter growth/decay rate (r): %
Enter time (t):  
   
Value at time t (x(t)):  

Exponential Growth & Decay Calculator

Our free online exponential growth calculator computes exponential growth or decay rates with the help parameters like time period (t), growth rate (r), & Initial value (x) and exponential growth formula.

Exponential Growth Rate Formula

x(t) = x0 × (1 + r) power of (t)

x(t) = x0 × (1 + r) t

x(t) is the value at time t.

x0 is the initial value at time t=0.

r is the growth rate when r>0 or decay rate when r<0, in percent.

t is the time in discrete intervals and selected time units.

Example

x0 = 50

r = 4% = 0.04

t = 90 hours

x(t) = x0 × (1 + r) t = 50×(1+0.04)90 = 1706