College Algebra & Trigonometry, 2018a

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3.1. EXPONENTIAL AND LOGISTIC APPLICATIONS 155 5) A Temperature Model A cup of coffee is heated to 180 ◦ F and placed in a room that maintains a temperature of 65 ◦ F . The temperature of the coffee after t minutes have passed is given by: F (t) = 65 + 115e −0.042t a) Find the temperature of the coffee 10 minutes after it is placed in the room. Round your answer to the nearest degree. b) When will the temperature of the coffee be 100 ◦ F ? Round your answer to the nearest tenth of a minute. 6) A Temperature Model Soup at a temperature of 170 ◦ F is poured into a bowl in a room that maintains a constant temperature. The temperature of the soup decreases according to the model given by: F (t) =75+95e −0.12t where t is the number of minutes that have passed since the soup was poured. a) What is the temperature of the soup after 2 minutes? Round your answer to the nearest 10th of a degree. b) A certain customer prefers that the soup be cooled to 110 ◦ F . How long will this take? Round your answer to the nearest 10th of a minute.
156 CHAPTER 3. EXPONENTS AND LOGARITHMS 7) Radioactive Decay A radioactive substance decays in such a way that the amount of mass remaining after t days is given by the equation: m(t) =13e −0.015t where the amount is measured in kilograms. a) Find the mass at time t =0. b) How much of the mass remains after 45 days? c) How long does it take for there to be 5 kg. left? 8) Radioactive Decay Radioactive iodine is used by doctors as a tracer in diagnosing certain thyroid gland disorders. This type of iodine decays in such a way that the mass remaining after t days is given by: m(t) =6e −0.087t where the amount is measured in grams. a) Find the mass at time t =0. b) How much remains after 20 days? c) How long does it take for there to be 2 grams left? Round your answer to the nearest tenth of a day.
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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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8 CONTENTS
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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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College Algebra & Trigonometry, 2018a

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