exponential decay
y = (1/2)ˣ
Exponential decay is a mathematical process in which a quantity decreases by a constant proportion over time. The formula for exponential decay is:
y = a * e^(-kt)
Where y is the quantity at time t, a is the initial quantity, k is the decay constant, and e is the mathematical constant 2.71828. The decay constant determines how quickly the quantity decreases. The larger the decay constant, the faster the decay.
An example of exponential decay could be the amount of a radioactive material over time. As the material decays, the amount of radioactive material left decreases exponentially.
Another example of exponential decay is the decrease in the value of a car over time. As a car ages, its value decreases exponentially, with the highest rate of depreciation occurring in the first few years.
In summary, exponential decay is the process in which a quantity decreases by a constant proportion over time, and is commonly seen in areas such as radioactive decay and depreciation of assets.
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