Finite Math Examples

$14079 (\frac{1 - {(1 + 0.019)}^{- 24}}{0.019})$

Step 1

Simplify the numerator.

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Step 1.1

Add $1$ and $0.019$ .

$14079 \frac{1 - {1.019}^{- 24}}{0.019}$

Step 1.2

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

$14079 \frac{1 - \frac{1}{{1.019}^{24}}}{0.019}$

Step 1.3

Raise $1.019$ to the power of $24$ .

$14079 \frac{1 - \frac{1}{1.5710153}}{0.019}$

Step 1.4

Divide $1$ by $1.5710153$ .

$14079 \frac{1 - 1 \cdot 0.63653103}{0.019}$

Step 1.5

Multiply $- 1$ by $0.63653103$ .

$14079 \frac{1 - 0.63653103}{0.019}$

Step 1.6

Subtract $0.63653103$ from $1$ .

$14079 (\frac{0.36346896}{0.019})$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $0.019$ .

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Step 2.1.1

Factor $0.019$ out of $14079$ .

$0.019 (741000) \frac{0.36346896}{0.019}$

Step 2.1.2

Cancel the common factor.

$0.019 \cdot 741000 \frac{0.36346896}{0.019}$

Step 2.1.3

Rewrite the expression.

$741000 \cdot 0.36346896$

Step 2.2

Multiply $741000$ by $0.36346896$ .

$269330.50232832$