Finite Math Examples

$\frac{140000 (0.48)}{1 - {(1 + 0.48)}^{- 360}}$

Step 1

Multiply $140000$ by $0.48$ .

$\frac{67200}{1 - {(1 + 0.48)}^{- 360}}$

Step 2

Simplify the denominator.

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Step 2.1

Add $1$ and $0.48$ .

$\frac{67200}{1 - {1.48}^{- 360}}$

Step 2.2

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

$\frac{67200}{1 - \frac{1}{{1.48}^{360}}}$

Step 2.3

Write $1$ as a fraction with a common denominator.

$\frac{67200}{\frac{{1.48}^{360}}{{1.48}^{360}} - \frac{1}{{1.48}^{360}}}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{67200}{\frac{{1.48}^{360} - 1}{{1.48}^{360}}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$67200 \frac{{1.48}^{360}}{{1.48}^{360} - 1}$

Step 4

Combine $67200$ and $\frac{{1.48}^{360}}{{1.48}^{360} - 1}$ .

$\frac{67200 \cdot {1.48}^{360}}{{1.48}^{360} - 1}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{67200 \cdot {1.48}^{360}}{{1.48}^{360} - 1}$

Decimal Form:

$67200$