What is 10000*(1+0.0180875824*12)^{-1} ?

The solution to 10000*(1+0.0180875824*12)^{-1} is 8216.58261…

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simplify 10000(1+0.018087582412)^{-1}

simplify

10000 \cdot (1 + 0.0180875824 \cdot 12)^{- 1}

8216.58261 \dots

Solution steps

10000 (1 + 0.01808 \dots \cdot 12)^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= 10000 \cdot \frac{1}{( 1 + 12 \cdot 0.01808 \dots )}

1 + 0.01808 \dots \cdot 12 = 1.21705 \dots

= 10000 \cdot \frac{1}{1.21705 \dots}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 10000}{1.21705 \dots}

Multiply the numbers:

1 \cdot 10000 = 10000

= \frac{10000}{1.21705 \dots}

Divide the numbers:

\frac{10000}{1.21705 \dots} = 8216.58261 \dots

= 8216.58261 \dots

3 (5 - 2 x)^{- 1}

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What is 10000*(1+0.0180875824*12)^{-1} ?
The solution to 10000*(1+0.0180875824*12)^{-1} is 8216.58261…