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A Sum Of $5,000\$ 5,000 Is Invested At 20%20 \% Interest If A(t)A ( t )

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A sum of $5,000\$ 5,000 is invested at 20%20 \% interest. If A(t)A ( t ) is the amount of the investment at time tt for the case of continuous compounding, write a differential equation and an initial condition satisfied by A(t)A ( t ) .

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