Finite Math Examples

$\frac{100000}{\frac{{(1 + 0.007708\overline{3})}^{384} - 1}{0.007708\overline{3}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$100000 \frac{0.007708\overline{3}}{{(1 + 0.007708\overline{3})}^{384} - 1}$

Step 2

Simplify the denominator.

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Step 2.1

Add $1$ and $0.007708\overline{3}$ .

$100000 \frac{0.007708\overline{3}}{{1.007708\overline{3}}^{384} - 1}$

Step 2.2

Raise $1.007708\overline{3}$ to the power of $384$ .

$100000 \frac{0.007708\overline{3}}{19.08017722 - 1}$

Step 2.3

Subtract $1$ from $19.08017722$ .

$100000 (\frac{0.007708\overline{3}}{18.08017722})$

Step 3

Simplify the expression.

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Step 3.1

Divide $0.007708\overline{3}$ by $18.08017722$ .

$100000 \cdot 0.00042634$

Step 3.2

Multiply $100000$ by $0.00042634$ .

$42.63416908$