Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this presentation? Why not share!

- E sky 9 in-1 services presentation ... by e-sky, Inc 1435 views
- A28-3 number e notes by vhiggins1 117 views
- A28-3 number e by vhiggins1 216 views
- Presentation ad rs_september2013 by consumerenergy 287 views
- “1” Is The Loneliest Number: Why “e... by Nyles Bauer 770 views
- 8.3 the number e by hisema01 510 views

No Downloads

Total views

546

On SlideShare

0

From Embeds

0

Number of Embeds

77

Shares

0

Downloads

5

Comments

0

Likes

1

No embeds

No notes for slide

- 1. Objectives: 1. Define and apply natural base exponential functions.
- 2. Discovered by mathematician Leonhard Euler. (Sounds like “oiler”) Called the natural base e or the Euler number. Very common in higher math, especially calculus.
- 3. The irrational number e is defined: Means as n increases, gets closer and closer to e ≈ 2.718 n 10 100 1000 10,000 100,000 1,000,000
- 4. Compound interest can be measured using the equation: where P is principal, and n is the number of times interest is compounded per year.
- 5. If $1000 is invested at 8% annual interest, how much will you have after one year if interest is compounded: Quarterly? Daily?
- 6. As n gets very large the interest formula approaches . Example: How much will you have from the last example if interest is compounded continuously?
- 7. Compound/continuous interest yields annual growth that is greater than the annual interest rate indicates. The actual growth is described by the Effective Annual Yield. To find: Divide then write increase as a %.
- 8. After one year during which interest is compounded quarterly, an investment of $800 is worth $851. What is the effective annual yield?
- 9. What is the effective annual yield if you invest $200 and it is worth $297 after 1 year?
- 10. Any quantity, such as population, where compounding happens “all the time” can be expressed:
- 11. A population of ladybugs multiplies rapidly so the population after t days is How many ladybugs are present now? How many will there be after a week?

No public clipboards found for this slide

×
### Save the most important slides with Clipping

Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.

Be the first to comment