The total accumulated cost and revenue (in millions of dollars) for a piece of business machinery is

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The total accumulated cost and revenue (in millions of dollars) for a piece of business machinery is

\[C^{\prime}(t)=\frac{t}{20} \quad \text { and } \quad R^{\prime}(t)=-e^{(-t)}\]

where \(t\) is the time in years. Find the cost and revenue functions if the initial cost is \(\$ 0.25\) and the initial revenue is \(\$ 0 . \)

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