4th October 2019

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# What does E mean in an exponential function?

Also called Euler's number after the Swiss mathematician Leonhard Euler, e is different from γ, the Euler–Mascheroni constant, which is sometimes called simply Euler's constant. The natural logarithm, or logarithm to base e, is the inverse function to the natural exponential function.

Beside this, what is E in continuous compound interest formula?

In the formula, A represents the initial amount in the account. Continuously Compounded Interest is a great thing when you are earning it! Continuously compounded interest means that your principal is constantly earning interest and the interest keeps earning on the interest earned!

What is the importance of the number e?

The number e is a famous irrational number, and is one of the most important numbers in mathematics. It is often called Euler's number after Leonhard Euler (pronounced "Oiler"). e is the base of the Natural Logarithms (invented by John Napier). e is found in many interesting areas, so it is worth learning about.

Is compounded daily the same as compounded continuously?

With daily compounding, the total interest earned is \$1,617.98, while with continuous compounding the total interest earned is \$1,618.34. The difference between the two is only \$0.36. Not much more is earned when compounding an infinite amount of times versus compounding just 365 times.