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An amount of money is invested in a continuously compounded interest account. The amount of money increases at a rate proportional to the amount present.

An amount of money is invested in a continuously compounded interest account. The amount of money increases at a rate proportional to the amount present. Suppose 10000 $ is invested where the annual interest rate is 12%. a. How much money will be present after 10 years? b. How long will it take the invested money to double?

solve it using mathematical models involving first-order ODE

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