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The Number

The Number . e. Using the natural base. Objectives. Discover the meaning behind the natural base e. Experiment with the properties of e. Practice graphing natural base functions. Use the natural base e in real life. Realize that toucans make no sense at all. .

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The Number

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  1. The Number e Using the natural base

  2. Objectives • Discover the meaning behind the natural base e. • Experiment with the properties of e. • Practice graphing natural base functions. • Use the natural base e in real life. • Realize that toucans make no sense at all.

  3. So what the heck is the natural base? Or in other words … it’s a NUMBER!

  4. Remember these?!?!

  5. Let’s Practice!

  6. Please sir, May I have some more?

  7. Again! Again! Again! Annnd Done!

  8. Fingers Flying! • How do we use a calculator to evaluate expressions of e?

  9. Fingers Flying!

  10. Fingers Flying!

  11. A little bit more graphing …

  12. Venturing off on your own…

  13. Independent math student!

  14. I got this one ms.Pobuda!

  15. e Using in real life

  16. Organize yourself! Key: “y” = End amount “r” = rate “a” = Initial amount “t” = time • Increasing • Decreasing • compounding interest • compounding interest continuously Key: “A” = End amount “r” = rate “P” = Initial amount “t” = time “e” = 2.71828 … (a number)

  17. Finding the balance in an account • You deposit $1,000 in an account that pays 8% annual interest compounded continuously. What is the balance after 1 year???

  18. The solution

  19. Homework? YESSSSS!!! • Pg. 483 #18-60 (evens), 76, 77

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