Basic Math Examples

$h = \frac{6 \cdot \frac{0.084}{12} \cdot 100}{1 - {(1 + \frac{0.084}{12})}^{6}} - 100$

Step 1

Simplify each term.

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Combine $6$ and $\frac{0.084}{12}$ .

$h = \frac{\frac{6 \cdot 0.084}{12} \cdot 100}{1 - {(1 + \frac{0.084}{12})}^{6}} - 100$

Step 1.1.2

Combine $\frac{6 \cdot 0.084}{12}$ and $100$ .

$h = \frac{\frac{6 \cdot 0.084 \cdot 100}{12}}{1 - {(1 + \frac{0.084}{12})}^{6}} - 100$

Step 1.2

Simplify the denominator.

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Step 1.2.1

Divide $0.084$ by $12$ .

$h = \frac{\frac{6 \cdot 0.084 \cdot 100}{12}}{1 - {(1 + 0.007)}^{6}} - 100$

Step 1.2.2

Add $1$ and $0.007$ .

$h = \frac{\frac{6 \cdot 0.084 \cdot 100}{12}}{1 - {1.007}^{6}} - 100$

Step 1.2.3

Raise $1.007$ to the power of $6$ .

$h = \frac{\frac{6 \cdot 0.084 \cdot 100}{12}}{1 - 1 \cdot 1.04274189} - 100$

Step 1.2.4

Multiply $- 1$ by $1.04274189$ .

$h = \frac{\frac{6 \cdot 0.084 \cdot 100}{12}}{1 - 1.04274189} - 100$

Step 1.2.5

Subtract $1.04274189$ from $1$ .

$h = \frac{\frac{6 \cdot 0.084 \cdot 100}{12}}{- 0.04274189} - 100$

Step 1.3

Simplify the numerator.

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Step 1.3.1

Multiply $6$ by $0.084$ .

$h = \frac{\frac{0.504 \cdot 100}{12}}{- 0.04274189} - 100$

Step 1.3.2

Multiply $0.504$ by $100$ .

$h = \frac{\frac{50.4}{12}}{- 0.04274189} - 100$

Step 1.4

Divide $50.4$ by $12$ .

$h = \frac{4.2}{- 0.04274189} - 100$

Step 1.5

Divide $4.2$ by $- 0.04274189$ .

$h = - 98.26424145 - 100$

Step 2

Subtract $100$ from $- 98.26424145$ .

$h = - 198.26424145$