Basic Math Examples

$R = \frac{(60000) (\frac{0.085}{12})}{1 - {(\frac{12}{12 + 0.085})}^{12 \cdot 30}}$

Step 1

Multiply $60000$ by $\frac{0.085}{12}$ .

$R = \frac{60000 (\frac{0.085}{12})}{1 - {(\frac{12}{12 + 0.085})}^{12 \cdot 30}}$

Step 2

Simplify $\frac{60000 (\frac{0.085}{12})}{1 - {(\frac{12}{12 + 0.085})}^{12 \cdot 30}}$ .

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Step 2.1

Combine fractions.

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Step 2.1.1

Add $12$ and $0.085$ .

$R = \frac{60000 (\frac{0.085}{12})}{1 - {(\frac{12}{12.085})}^{12 \cdot 30}}$

Step 2.1.2

Combine $60000$ and $\frac{0.085}{12}$ .

$R = \frac{\frac{60000 \cdot 0.085}{12}}{1 - {(\frac{12}{12.085})}^{12 \cdot 30}}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Divide $12$ by $12.085$ .

$R = \frac{\frac{60000 \cdot 0.085}{12}}{1 - {0.99296648}^{12 \cdot 30}}$

Step 2.2.2

Multiply $12$ by $30$ .

$R = \frac{\frac{60000 \cdot 0.085}{12}}{1 - {0.99296648}^{360}}$

Step 2.2.3

Raise $0.99296648$ to the power of $360$ .

$R = \frac{\frac{60000 \cdot 0.085}{12}}{1 - 1 \cdot 0.07878669}$

Step 2.2.4

Multiply $- 1$ by $0.07878669$ .

$R = \frac{\frac{60000 \cdot 0.085}{12}}{1 - 0.07878669}$

Step 2.2.5

Subtract $0.07878669$ from $1$ .

$R = \frac{\frac{60000 \cdot 0.085}{12}}{0.9212133}$

Step 2.3

Simplify the expression.

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Step 2.3.1

Multiply $60000$ by $0.085$ .

$R = \frac{\frac{5100}{12}}{0.9212133}$

Step 2.3.2

Divide $5100$ by $12$ .

$R = \frac{425}{0.9212133}$

Step 2.3.3

Divide $425$ by $0.9212133$ .

$R = 461.34809015$