1 / 5

The Number e and Natural Logs

The Number e and Natural Logs. Chapter 8.4 and 8.3. The Number e. Like π and i , e denotes a number. e, the Eular Number, is named after the mathematician that discovered it, Leonhard Eular (1707 – 1783). e is also known as the Natural Base.

miyoko
Télécharger la présentation

The Number e and Natural Logs

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The Number e and Natural Logs Chapter 8.4 and 8.3

  2. The Number e • Like π and i, e denotes a number. • e, the Eular Number, is named after the mathematician that discovered it, Leonhard Eular (1707 – 1783). • e is also known as the Natural Base. • The number e is irrational – its’ decimal representation does not terminate or follow a repeating pattern. • e ≈ 2.18281828459045…

  3. The Natural Logarithm • The logarithm with the base e is called the natural logarithm. • Most scientific calculators have keys to evaluate natural logarithms.

  4. Using e in “real life” • e can be found in the formula to calculate Compound Interest for accounts that build interest continuously. A = Amount P = Principal r = rate t = time

  5. More Money, More Problems Ex. Continuously compounded interest You deposit $1000.00 into an account that pays 8% annual interest compounded continuously. What is the balance after 1 year? P = 1000, r = .08, and t = 1 A=Pert = 1000e.08*1 ≈ $1083.29

More Related