Finite Math Examples

$\frac{300}{12} \cdot (\frac{0.045}{1 - {(1 + \frac{0.045}{23})}^{- 12 \cdot 25}})$

Step 1

Simplify the denominator.

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Step 1.1

Divide $0.045$ by $23$ .

$\frac{300}{12} \cdot \frac{0.045}{1 - {(1 + 0.00195652)}^{- 12 \cdot 25}}$

Step 1.2

Add $1$ and $0.00195652$ .

$\frac{300}{12} \cdot \frac{0.045}{1 - {1.00195652}^{- 12 \cdot 25}}$

Step 1.3

Multiply $- 12$ by $25$ .

$\frac{300}{12} \cdot \frac{0.045}{1 - {1.00195652}^{- 300}}$

Step 1.4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{300}{12} \cdot \frac{0.045}{1 - \frac{1}{{1.00195652}^{300}}}$

Step 1.5

Raise $1.00195652$ to the power of $300$ .

$\frac{300}{12} \cdot \frac{0.045}{1 - \frac{1}{1.7974753}}$

Step 1.6

Divide $1$ by $1.7974753$ .

$\frac{300}{12} \cdot \frac{0.045}{1 - 1 \cdot 0.55633587}$

Step 1.7

Multiply $- 1$ by $0.55633587$ .

$\frac{300}{12} \cdot \frac{0.045}{1 - 0.55633587}$

Step 1.8

Subtract $0.55633587$ from $1$ .

$\frac{300}{12} \cdot \frac{0.045}{0.44366412}$

Step 2

Simplify the expression.

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Step 2.1

Divide $300$ by $12$ .

$25 \cdot \frac{0.045}{0.44366412}$

Step 2.2

Divide $0.045$ by $0.44366412$ .

$25 \cdot 0.10142807$

Step 2.3

Multiply $25$ by $0.10142807$ .

$2.53570198$