Basic Math Examples

$\frac{100000}{\frac{1 - {(\frac{1}{1 + 0.12})}^{20}}{0.12}} \cdot (1 - {(\frac{1}{1.12})}^{18})$

Step 1

Add $1$ and $0.12$ .

$\frac{100000}{\frac{1 - {(\frac{1}{1.12})}^{20}}{0.12}} \cdot (1 - {(\frac{1}{1.12})}^{18})$

Step 2

Simplify the numerator.

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Step 2.1

Divide $1$ by $1.12$ .

$\frac{100000}{\frac{1 - {0.89285714}^{20}}{0.12}} \cdot (1 - {(\frac{1}{1.12})}^{18})$

Step 2.2

Raise $0.89285714$ to the power of $20$ .

$\frac{100000}{\frac{1 - 1 \cdot 0.10366676}{0.12}} \cdot (1 - {(\frac{1}{1.12})}^{18})$

Step 2.3

Multiply $- 1$ by $0.10366676$ .

$\frac{100000}{\frac{1 - 0.10366676}{0.12}} \cdot (1 - {(\frac{1}{1.12})}^{18})$

Step 2.4

Subtract $0.10366676$ from $1$ .

$\frac{100000}{\frac{0.89633323}{0.12}} \cdot (1 - {(\frac{1}{1.12})}^{18})$

Step 3

Simplify terms.

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Step 3.1

Divide $0.89633323$ by $0.12$ .

$\frac{100000}{7.46944362} \cdot (1 - {(\frac{1}{1.12})}^{18})$

Step 3.2

Divide $100000$ by $7.46944362$ .

$13387.87800396 \cdot (1 - {(\frac{1}{1.12})}^{18})$

Step 3.3

Simplify each term.

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Step 3.3.1

Divide $1$ by $1.12$ .

$13387.87800396 \cdot (1 - {0.89285714}^{18})$

Step 3.3.2

Raise $0.89285714$ to the power of $18$ .

$13387.87800396 \cdot (1 - 1 \cdot 0.13003959)$

Step 3.3.3

Multiply $- 1$ by $0.13003959$ .

$13387.87800396 \cdot (1 - 0.13003959)$

Step 3.4

Simplify the expression.

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Step 3.4.1

Subtract $0.13003959$ from $1$ .

$13387.87800396 \cdot 0.8699604$

Step 3.4.2

Multiply $13387.87800396$ by $0.8699604$ .

$11646.92383579$