Basic Math Examples

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

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

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

$0.9212133$ .

$R = 461.34809015$