Finite Math Examples

$x = \frac{2000 (0.00\overline{3})}{{(1.00\overline{3})}^{120} - 1}$

Step 1

Remove parentheses.

$x = \frac{2000 (0.00\overline{3})}{{1.00\overline{3}}^{120} - 1}$

Step 2

Simplify $\frac{2000 (0.00\overline{3})}{{1.00\overline{3}}^{120} - 1}$ .

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Step 2.1

Multiply $2000$ by $0.00\overline{3}$ .

$x = \frac{6.\overline{6}}{{1.00\overline{3}}^{120} - 1}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Raise $1.00\overline{3}$ to the power of $120$ .

$x = \frac{6.\overline{6}}{1.49083268 - 1}$

Step 2.2.2

Subtract $1$ from $1.49083268$ .

$x = \frac{6.\overline{6}}{0.49083268}$

Step 2.3

Divide $6.\overline{6}$ by $0.49083268$ .

$x = 13.58236096$