Finite Math Examples

$\frac{100000}{\frac{{(1 + 0.0925)}^{384} - 1}{0.0925}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$100000 \frac{0.0925}{{(1 + 0.0925)}^{384} - 1}$

Step 2

Simplify the denominator.

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Step 2.1

Add $1$ and $0.0925$ .

$100000 \frac{0.0925}{{1.0925}^{384} - 1}$

Step 2.2

Raise $1.0925$ to the power of $384$ .

$100000 \frac{0.0925}{567329186622799 - 1}$

Step 2.3

Subtract $1$ from $567329186622799$ .

$100000 (\frac{0.0925}{567329186622798})$

Step 3

Simplify terms.

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Step 3.1

Cancel the common factor of $2$ .

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Step 3.1.1

Factor $2$ out of $100000$ .

$2 (50000) \frac{0.0925}{567329186622798}$

Step 3.1.2

Factor $2$ out of $567329186622798$ .

$2 \cdot 50000 \frac{0.0925}{2 \cdot 283664593311399}$

Step 3.1.3

Cancel the common factor.

$2 \cdot 50000 \frac{0.0925}{2 \cdot 283664593311399}$

Step 3.1.4

Rewrite the expression.

$50000 (\frac{0.0925}{283664593311399})$

Step 3.2

Combine $50000$ and $\frac{0.0925}{283664593311399}$ .

$\frac{50000 \cdot 0.0925}{283664593311399}$

Step 3.3

Multiply $50000$ by $0.0925$ .

$\frac{4625}{283664593311399}$

Step 3.4

Cancel the common factor of $4625$ and $283664593311399$ .

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Step 3.4.1

Rewrite $4625$ as $1 (4625)$ .

$\frac{1 (4625)}{283664593311399}$

Step 3.4.2

Cancel the common factors.

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Step 3.4.2.1

Rewrite $283664593311399$ as $1 (283664593311399)$ .

$\frac{1 \cdot 4625}{1 \cdot 283664593311399}$

Step 3.4.2.2

Cancel the common factor.

$\frac{1 \cdot 4625}{1 \cdot 283664593311399}$

Step 3.4.2.3

Rewrite the expression.

$\frac{4625}{283664593311399}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{4625}{283664593311399}$

Decimal Form:

$1.63044669 \cdot 10^{- 11}$