Basic Math Examples

\frac{140000 (\frac{0.075}{12})}{1 - {(1 + \frac{0.075}{12})}^{- 12 \cdot 15}}

$\frac{140000 (\frac{0.075}{12})}{1 - {(1 + \frac{0.075}{12})}^{- 12 \cdot 15}}$

Step 1

Combine

$140000$ and

$\frac{0.075}{12}$ .

$\frac{\frac{140000 \cdot 0.075}{12}}{1 - {(1 + \frac{0.075}{12})}^{- 12 \cdot 15}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide

$0.075$ by

$12$ .

$\frac{\frac{140000 \cdot 0.075}{12}}{1 - {(1 + 0.00625)}^{- 12 \cdot 15}}$

Step 2.2

Add

$1$ and

$0.00625$ .

$\frac{\frac{140000 \cdot 0.075}{12}}{1 - {1.00625}^{- 12 \cdot 15}}$

Step 2.3

Multiply

$- 12$ by

$15$ .

$\frac{\frac{140000 \cdot 0.075}{12}}{1 - {1.00625}^{- 180}}$

Step 2.4

Rewrite the expression using the negative exponent rule

$b^{- n} = \frac{1}{b^{n}}$ .

$\frac{\frac{140000 \cdot 0.075}{12}}{1 - \frac{1}{{1.00625}^{180}}}$

Step 2.5

Raise

$1.00625$ to the power of

$180$ .

$\frac{\frac{140000 \cdot 0.075}{12}}{1 - \frac{1}{3.06945172}}$

Step 2.6

Divide

$1$ by

$3.06945172$ .

$\frac{\frac{140000 \cdot 0.075}{12}}{1 - 1 \cdot 0.32579108}$

Step 2.7

Multiply

$- 1$ by

$0.32579108$ .

$\frac{\frac{140000 \cdot 0.075}{12}}{1 - 0.32579108}$

Step 2.8

Subtract

$0.32579108$ from

$1$ .

$\frac{\frac{140000 \cdot 0.075}{12}}{0.67420891}$

Step 3

Simplify the expression.

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Step 3.1

Multiply

$140000$ by

$0.075$ .

$\frac{\frac{10500}{12}}{0.67420891}$

Step 3.2

Divide

$10500$ by

$12$ .

$\frac{875}{0.67420891}$

Step 3.3

Divide

$875$ by

$0.67420891$ .

$1297.817304$