Can someone explain the exponential growth formula in layman's terms? I really need the help understanding the concept, any help will be greatly appreciated! :)

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ok say...i have some amount of money deposited in a bank collecting interest given time the amount will "exponentially increase" because interest is based on how much money i have since each year my money will increase, as time increases, interest exponentially increases. example 2. bacterial growth...say you start off with 1 colony of bacteria, given enough time/resources, it will exponentially grow

hmm that makes sense, but what I can't figure out is how to apply that to the formula A=A\[_{0}\]^rt

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