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Which is the base of the exponential function?
The exponential function appearing in the above formula has a base equal to 1 + r/100. Note that the exponential growth rate, r, can be any positive number, but, this calculator also works as an exponential decay calculator - where r also represents the rate of decay, which should be between 0 & -100%.
What is the relation between K and R in exponential growth?
The coefficient k plays the role of the rate of growth, similarly as r does in the original exponential growth formula. Comparing the above equation with the original one, you can see that the relation between r and k is as follows: r = 100 * (e k - 1) and k = ln (1 + r/100).
Which is the correct formula for exponential growth?
The general rule of thumb is that the exponential growth formula: x (t) = x 0 * (1 + r/100) t is used when there is a quantity with an initial value, x 0, that changes over time, t, with a constant rate of change, r. The exponential function appearing in the above formula has a base equal to 1 + r/100.
What is the decay rate of exponential growth?
Note that the exponential growth rate, r, can be any positive number, but, this calculator also works as an exponential decay calculator - where r also represents the rate of decay, which should be between 0 & -100%.
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