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ACT Preparation / Unit 12   ACT 1108 short lesson, about 20 seconds

The Number e

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The idea

The number e, about 2.718, is the base of continuous growth. Continuously compounded interest is A = Pe^(rt).

In practice

$1,000 at 6% compounded continuously for 2 years: 1,000e^(0.12), about $1,127.50.

Where people slip

e is a constant like π, not a variable; e^(rt) is the limit of compounding more and more often.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

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