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7:51 PM Sat Mar 21 * 97% 45. A stock originally valued at $100 per share is losing 50% of its value every days. a. Find an exponential function of the form Vt) = Vo n"" that models the value of a share of the stock after t days. b. Find the equivalent exponential model of the form Vt) = Vo e" . c. What is the hourly percentage decay rate of the value of a share? d. Without using a calculator, find the value of a share of the stock after 15 days. e. How fast is the value changing after 10 days? 46. A 50-g mass of a radioactive substance is losing 20% of its mass every 2 weeks. t/T a. Find an exponential function of the form M(t) = Mo n'T that models the mass of the substance after t weeks. b. Find the equivalent exponential model of the form M(t) = Mo e"" . c. What is the weekly percentage decay rate of the mass? d. Without using a calculator, find the mass of the substance after 4 weeks. e. How fast is the mass hanging after 6 weeks? 47. Greta deposited $50,000 in a savings account that increased in value by 20% every 4 yr. ,t/T a. Find an exponential function of the form A(t) = Ao n'T that models the value of Greta's account after t years. b. Find A(8), and explain its meaning. c. Find A (8), and explain its meaning. 48. Suppose that the value of a rare autograph increases by 35% every 10 yr, and the autograph was worth $2500 in 2000. a. Find an exponential function of the form Vt) = Vo n'" that models the value of the autograph after t years. b. Find V(20), and explain its meaning. c. Find V (20), and explain its meaning. Business and Economics

7:51 PM Sat Mar 21 * 97% 45. A stock originally valued at $100 per share is losing 50% of its value every days. a. Find an exponential function of the form Vt) = Vo n"" that models the value of a share of the stock after t days. b. Find the equivalent exponential model of the form Vt) = Vo e" . c. What is the hourly percentage decay rate of the value of a share? d. Without using a calculator, find the value of a share of the stock after 15 days. e. How fast is the value changing after 10 days? 46. A 50-g mass of a radioactive substance is losing 20% of its mass every 2 weeks. t/T a. Find an exponential function of the form M(t) = Mo n'T that models the mass of the substance after t weeks. b. Find the equivalent exponential model of the form M(t) = Mo e"" . c. What is the weekly percentage decay rate of the mass? d. Without using a calculator, find the mass of the substance after 4 weeks. e. How fast is the mass hanging after 6 weeks? 47. Greta deposited $50,000 in a savings account that increased in value by 20% every 4 yr. ,t/T a. Find an exponential function of the form A(t) = Ao n'T that models the value of Greta's account after t years. b. Find A(8), and explain its meaning. c. Find A (8), and explain its meaning. 48. Suppose that the value of a rare autograph increases by 35% every 10 yr, and the autograph was worth $2500 in 2000. a. Find an exponential function of the form Vt) = Vo n'" that models the value of the autograph after t years. b. Find V(20), and explain its meaning. c. Find V (20), and explain its meaning. Business and Economics

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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7:51 PM Sat Mar 21 * 97% 45. A stock originally valued at $100 per share is losing 50% of its value every days. a. Find an exponential function of the form Vt) = Vo n"" that models the value of a share of the stock after t days. b. Find the equivalent exponential model of the form Vt) = Vo e" . c. What is the hourly percentage decay rate of the value of a share? d. Without using a calculator, find the value of a share of the stock after 15 days. e. How fast is the value changing after 10 days? 46. A 50-g mass of a radioactive substance is losing 20% of its mass every 2 weeks. t/T a. Find an exponential function of the form M(t) = Mo n'T that models the mass of the substance after t weeks. b. Find the equivalent exponential model of the form M(t) = Mo e"" . c. What is the weekly percentage decay rate of the mass? d. Without using a calculator, find the mass of the substance after 4 weeks. e. How fast is the mass hanging after 6 weeks? 47. Greta deposited $50,000 in a savings account that increased in value by 20% every 4 yr. ,t/T a. Find an exponential function of the form A(t) = Ao n'T that models the value of Greta's account after t years. b. Find A(8), and explain its meaning. c. Find A (8), and explain its meaning. 48. Suppose that the value of a rare autograph increases by 35% every 10 yr, and the autograph was worth $2500 in 2000. a. Find an exponential function of the form Vt) = Vo n'" that models the value of the autograph after t years. b. Find V(20), and explain its meaning. c. Find V (20), and explain its meaning. Business and Economics
Transcribed Image Text:7:51 PM Sat Mar 21 * 97% 45. A stock originally valued at $100 per share is losing 50% of its value every days. a. Find an exponential function of the form Vt) = Vo n"" that models the value of a share of the stock after t days. b. Find the equivalent exponential model of the form Vt) = Vo e" . c. What is the hourly percentage decay rate of the value of a share? d. Without using a calculator, find the value of a share of the stock after 15 days. e. How fast is the value changing after 10 days? 46. A 50-g mass of a radioactive substance is losing 20% of its mass every 2 weeks. t/T a. Find an exponential function of the form M(t) = Mo n'T that models the mass of the substance after t weeks. b. Find the equivalent exponential model of the form M(t) = Mo e"" . c. What is the weekly percentage decay rate of the mass? d. Without using a calculator, find the mass of the substance after 4 weeks. e. How fast is the mass hanging after 6 weeks? 47. Greta deposited $50,000 in a savings account that increased in value by 20% every 4 yr. ,t/T a. Find an exponential function of the form A(t) = Ao n'T that models the value of Greta's account after t years. b. Find A(8), and explain its meaning. c. Find A (8), and explain its meaning. 48. Suppose that the value of a rare autograph increases by 35% every 10 yr, and the autograph was worth $2500 in 2000. a. Find an exponential function of the form Vt) = Vo n'" that models the value of the autograph after t years. b. Find V(20), and explain its meaning. c. Find V (20), and explain its meaning. Business and Economics
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