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[ A(t) = A_0 \times e^-rt ]

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[ A(t) = A_0 \times (1 + r)^t ]

Understanding exponential growth and decay is essential for making informed decisions in various fields. These mathematical concepts help model and predict changes over time, offering insights into both natural phenomena and human activities. Whether it's calculating the future value of an investment or the remaining amount of a radioactive substance, the principles of exponential growth and decay provide a powerful toolset for analysis and prediction. [ A(t) = A_0 \times e^-rt ] No

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Exponential growth occurs when a quantity increases by a fixed percentage or factor over equal intervals of time. This type of growth is characterized by a rapid increase as time progresses. A classic example is compound interest in savings accounts or investments.