Chapter 3: Lesson 3.5 Exponential and Logarithmic Models

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Chapter 3: Lesson 3.5 Exponential and Logarithmic Models #13 Determine the amount of principal P that must be invested at 5% interest for 10 years in order to get a $500,000 return. #15 Determine the time necessary for P dollars to double if it is invested at 10% interest compounded a) annually b) monthly c) daily d) continuously

#29 The population P in thousands of Horry County South Carolina from 1980 to 2010 can be modeled by Where t represents the year with t = 0 corresponding to 1980. Find the population in 1980, 1990, 2000, and 2010 When will the population be 350,000? Is this model valid for long-term population predictions?

#43 A conservation organization released 100 animals of an endangered species into a game preserve. The preserve has a capacity to hold 1000 animals. The growth of the pack can be modeled by Where t is measured in months. What is the population after 5 months? How many months will it take for the population to be 500? Use a graphing app and find the horizontal asymptote.