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A bank account that has continuous compounding at an annual

Question: Solve the given problems.

A bank account that has continuous compounding at an annual interest rate r has a value A = A₀e^rt, where A₀ is the original amount invested, and t is the time in years. Show that the account grows at a rate proportional to A. (Continuous compounding means interest is being added continually, rather than after a specified length of time.)

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Mathematics: A bank account that has continuous compounding at an annual

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