Compound interest and e (part 2) | Exponential and logarithmic functions | Algebra II | Khan Academy
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- Опубліковано 21 кві 2008
- Compounding 100% annual interest continuously over a year converges to e (2.71...)
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So "e" was discovered as a consequence of greed.
"Im using excel for those of you who have never seen it before."
me in 2020: 😧
Kids in 2122: What's Excel?
I cannot appreciate enough the work done by Sal. You the best. Thank you.
@themin91 100% divided by 365 equal 0.27%. You want to convert that percentage into decimal.
That means, 0,27 / 100 = 0.0027
After that, you add 1 to it. 1 + 0.0027= 1.0027
He have a slight miscalculation there. It should have been 1.0027 NOT 1.027
How the hell did Euler proove the limit
converges to this number, to me, is pretty 'interesting' - nicely done had a chuckle
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can you make an option where ads are optional, because i would watch ads on ur vids to support instead of making donations
I just realized at the last moment that it was e..:D
hai and thankyou.i understood the concept of ci very well with the help of these videos
Great explanation.
some great inforamtion here thanks
5:19
Something *interesting* , hah, get it? ok sorry
@garymarkhov i was wondering what was up with that. thank you.
100/365 = 0.2739. Round up to 0.274. For percentages, shift decimal point two spaces to the left. Add the number 1 when multiplying.
HELP!!!
a car was bought for 25000$, each year it depreciates by 15%...
a) write an exponential formula that demostrates the cars value in (n) amount of years after it was purchased/
b) what is the cars value at the end of 3 years
c) after how many years will the value of the car be half of the original price?
PLZ HELP!!!! THANK YOU!!!
Wish I can like it twice :)
You'll get e to the power of the factor by which you increase that 100%! So if you make it 200%, that's a factor 2 increase over 100%, so you'll get e^2 = ~7.389. If you make it 50%, that's a factor 1/2 increase over 100%, so you'll get e^1/2 = ~1.649.
yeah i really would like to watch this whole video but all he's doing is confusing me
@garymarkhov I'm getting 2.71812669162 man using open office calc. and 2.718126692 using a normal scientific calc. since they don't have as much computing power or space to display as many decimals.
lim(when n approaches infinity) of (1+1/n)^n (shouldn't 1/n become 0) and 1^n = 1
Hey, but how would you do the limit of the compound interest without any reference to e?
It seems only worth it though if the amount was a large number to begin with, since there is no way to expect a fraction of a cent payment. If a million
2:19 you would owe twoHUNDREDseventy.... $271
is the 'squeeze theorem' learnt in university?
@Fanglez yeah
woohoo.. i am watching this in 2018 [ 10 years since the video was published] hah
how did you get 1.00274?
Compounded hourly is lesser than compounded daily.. Correct compounded hourly = 2.7181266916204521189161380653965
:o
E
I think it's unfair to appeal to a prior knowledge of what the number "e" is.
garymarkhov, what's ya problem man ? :) the limit theorem on e is one of the basic facts of algebra. the number you're referring to is acutally 2.71812669161791 ( and it's not like waaaay more
than 2.71443) keep it real yourself :)
I must wonder who that 1 dislike is....
Mara calculator broke ho gya