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Exam 10: Geometric Series

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Question 41

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A school librarian estimates that 2.5% of the library's books are either lost or damaged each year and need to be pulled from the shelves. There are currently 250,000 books in circulation, and the library adds 6000 books each year. What will the stabilization point be for the number of books in the library?

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Question 42

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Twice a day, a patient takes a 25 mg tablet of a drug. At the end of a 12 hour period, 35% of the drug remains in the body. How many mg of the drug remain in the body right after taking the 6^th tablet? Round to 2 decimal places.

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Question 43

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A new drug to control high blood pressure is found to have a half life of 2 days. How many milligrams of the drug would need to be given daily to achieve a steady state of 600 mg? Round to the nearest whole number.

Every evening, a person receives an 80 milligram injection of a drug. At the end of a 24 hour period, 40% of the drug remains in the body. How many milligrams of the drug remain in the body right before the 5^th injection? Round to the nearest whole number.

A ball is dropped from a height of 16 feet and bounces. Each bounce is of the height of the bounce before. Find the total vertical feet the ball has traveled when it hits the floor for the 4^th time. Round to 2 decimal places.