Algebra Examples

$\frac{400000}{\frac{1 - {(1 + 0.0075)}^{- 36}}{0.0075}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$400000 \frac{0.0075}{1 - {(1 + 0.0075)}^{- 36}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Add $1$ and $0.0075$ .

$400000 \frac{0.0075}{1 - {1.0075}^{- 36}}$

Step 2.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$400000 \frac{0.0075}{1 - \frac{1}{{1.0075}^{36}}}$

Step 2.3

Raise $1.0075$ to the power of $36$ .

$400000 \frac{0.0075}{1 - \frac{1}{1.30864537}}$

Step 2.4

Divide $1$ by $1.30864537$ .

$400000 \frac{0.0075}{1 - 1 \cdot 0.76414896}$

Step 2.5

Multiply $- 1$ by $0.76414896$ .

$400000 \frac{0.0075}{1 - 0.76414896}$

Step 2.6

Subtract $0.76414896$ from $1$ .

$400000 (\frac{0.0075}{0.23585103})$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Divide $0.0075$ by $0.23585103$ .

$400000 \cdot 0.03179973$

Step 3.2

Multiply $400000$ by $0.03179973$ .

$12719.89306397$