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Exponentials and Logs Review Day

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Presentation on theme: "Exponentials and Logs Review Day"— Presentation transcript:

1 Exponentials and Logs Review Day
Yes, I will go over homework after this…but start to fill in the missing pieces as I am going over some of this material…

2 LOGS Warm-up Evaluating Logs

3 LOGS Warm-up Convert from log form to exponential form
Convert from exponential form to log form

4 LOGS Warm-up Convert from log form to exponential form
Convert from exponential form to log form Expand Condense

5 Log Equations

6 Exponential Equations

7 Exponential Word Problems
Compounded Continuously Other compounds Half Life inc/decreasing and app/depreciation

8 You have decided to invest $2500 at an 8% annual rate of interest
You have decided to invest $2500 at an 8% annual rate of interest. How much will you have accumulated after 4 years it is compounded: Annually? Quarterly? Daily? Continuously?

9 You have decided to invest $10,000 at an 6.75% annual rate of interest. How much will you have accumulated after 5 years it is compounded: Annually? Quarterly? Daily? Continuously?

10 Interest An initial investment of $100 is now valued at $ The interest rate is 8% compounded continuously. How long has the money been invested?

11 Another Example: Suppose a $125,000 piece of machinery is depreciating at 8% every year. How much is it worth after 5 years? After 7 years? How long will it take for it to be worth less than $50,000?

12 How Long Problems? Suppose you buy a used car that costs $11,800. The expected depreciation of the car is 20% a year. When will the value be $6,500?

13 Homework Questions


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