Do Now  Clickulators.. 60 Frankie took four tests and got an average score of 87.5%. If his fifth test raised his average to 90%, what was his.

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Do Now  Clickulators.

60

Frankie took four tests and got an average score of 87.5%. If his fifth test raised his average to 90%, what was his score on that test? 60

Objectives CRS  NCP 703: Exhibit knowledge of logarithms and geometric sequences 13.November.2012  Students will be able to…  Evaluate, analyze, and graph exponential functions  Solve problems involving exponential growth and decay.

Exponential Functions

Graphs of exponential functions

Growth Versus Decay

Transformations

Applications

Compounded Continuously

Compound Interest  If $1000 is invested in a savings account earning 8% interest per year and compounded continuously, how much will be in the account at the end of 10 years if there are no other deposits or withdrawals?

Growth and Decay

Applications  Mexico has a population of approximately 110 million. If Mexico’s population grows at the rate of 1.42% annually, predict its population in 10 and 20 years.

Applications  Mexico has a population of approximately 110 million. If Mexico’s population grows at the rate of 1.42% continuously, predict its population in 10 and 20 years.

Applications  In 1980, there were cases of chicken pox. In 2005, there were 32.2 cases of chicken pox. If the rate of chicken pox cases is decreasing exponentially, determine the rate of decrease.

Doubling  If you invest in a savings account offering 3.5% interest compounded continuously, how long until your money doubles?

Practice  Pg. 166 #25  Pg. 167 #35

Exit Ticket  Pg. 166 #31  Pg. 167 #36