College Algebra & Trigonometry, 2018a

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3.1. EXPONENTIAL AND LOGISTIC APPLICATIONS 153 Exercises 3.1 1) Medication in the bloodstream The function A(t) = 200e −0.014t gives the amount of medication, in milligrams, in a patient’s bloodstream t minutes after the medication has been injected. a) Find the amount of medication in the bloodstream after 45 minutes. Round your answer to the nearest milligram. b) How long will it take for the amount of medication to reach 50 milligrams? Round your answer to the nearest minute. 2) Medication in the bloodstream The function D(t) =50e −0.2t gives the amount of medication, in milligrams, in a patient’s bloodstream t hours after the medication has been injected. a) Find the amount of medication in the bloodstream after 3 hours. Round your answer to the nearest milligram. b) How long will it take for the amount of medication to reach 10 milligrams? Round your answer to the nearest minute.
154 CHAPTER 3. EXPONENTS AND LOGARITHMS 3) Fish Population The number of bass in a lake can be modeled using the given equation: P (t) = 3600 1+7e −0.05t where t is the number of months that have passed since the lake was stocked with bass. In each question below, round your answer to the nearest whole number. a) How many bass were in the lake immediately after it was stocked? b) How many bass were in the lake 1 year after it was stocked? 4) Bird Population The population of a certain species of bird is limited by the type of habitat required for nesting. The population can be modeled using the following equation: P (t) = 5600 0.5+27.5e −0.044t where t is the number of years. In each question below, round your answer to the nearest whole number. a) Find the initial bird population. b) What is the population 100 years later?
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College Algebra & Trigonometry
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c○2018 Richard W. Beveridge This
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4 CONTENTS 2.4 Solution of Rational
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6 CONTENTS 8.2 The Trigonometric Ra
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88 CHAPTER 2. POLYNOMIAL AND RATION
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258 CHAPTER 5. CONIC SECTIONS - CIR
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288 CHAPTER 6. SEQUENCES AND SERIES
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472 CHAPTER 11. THE LAW OF SINES TH
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College Algebra & Trigonometry, 2018a

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