e

The Number 'e'
2.7182818284590452353602874713526624977572

The transcendental number 'e' is the sum of the infinite series:

This mathematical constant, also known as Euler's number, (after Leonhard Euler (1707-1783) the Swiss mathematician)
is used extensively in science and mathematics particularly calculus and natural logarithms.

Natural logarithms also known as Naperian logarithms have a base equal to 'e' or 2.718281828459.

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The constant 'e' appears quite often in mathematics.
When calculating compounded interest we use the formula:
Total = principal*(1 + rate)^years
For $1,000 invested for 2 years at 10 per cent interest compounded yearly yields:
$1,000 * (1.10)^2     = $1,210.00

However, to get the value for continuously compounded interest we use the number 'e':
Total = principal * e^(rate * years)
Total= $1,000 * 2.718281828459 ^(.1 *2) = $1,221.40

Click here for a continuously compounded interest calculator

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When dealing with exponential growth try this link:

Exponential Growth Calculator - uses natural logarithms

When dealing with exponential decay try these links:

NOT a calculator but an explanation of exponential decay and half-life.
Half-Life Calculator or (Exponential Decay Calculator)
Radioactive Decay Calculator

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