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Caffeine is metabolized and excreted at a continuous rate of about 17% per hour. A person with no caffeine in the body starts drinking coffee, containing 130 mg of caffeine per cup, at 7am. The person drinks coffee continuously all day at the rate of one cup an hour. Write a differential equation for A, the amount of caffeine in the body t hours after 7am and give the particular solution to this differential equation. How much caffeine is in the person's body at 5pm?

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