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exponential decay formula using e. The functions initial value at t0 is A5. X t x 0 e rt where r 0 that is r is negative because we are dealing with decay.
Where C C C is the amount of a substance that were starting with k k k is the decay constant and y y y is the amount of the substance we have remaining after time t t t. The current flowing through an RC circuit or RL. Decay exponentially at least for a while.
K is a variable that represents the decay constant.
As noted above in radioactive decay the half-life is the length of time after which there is a 50 chance that an atom will have undergone nuclear decay. So we have a generally useful formula. R the decay rate. X t x 0 e rt where r 0 that is r is negative because we are dealing with decay.