Evaluate (160000(0.05/12))/(1-(1+0.05/12)^(-12*20))

$\frac{160000 (\frac{0.05}{12})}{1 - {(1 + \frac{0.05}{12})}^{- 12 \cdot 20}}$

Combine $160000$ and $\frac{0.05}{12}$ .

$\frac{\frac{160000 \cdot 0.05}{12}}{1 - {(1 + \frac{0.05}{12})}^{- 12 \cdot 20}}$

Simplify the denominator.

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Divide $0.05$ by $12$ .

$\frac{\frac{160000 \cdot 0.05}{12}}{1 - {(1 + 0.0041\overline{6})}^{- 12 \cdot 20}}$

Add $1$ and $0.0041\overline{6}$ .

$\frac{\frac{160000 \cdot 0.05}{12}}{1 - {1.0041\overline{6}}^{- 12 \cdot 20}}$

Multiply $- 12$ by $20$ .

$\frac{\frac{160000 \cdot 0.05}{12}}{1 - {1.0041\overline{6}}^{- 240}}$

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

$\frac{\frac{160000 \cdot 0.05}{12}}{1 - \frac{1}{{1.0041\overline{6}}^{240}}}$

Raise $1.0041\overline{6}$ to the power of $240$ .

$\frac{\frac{160000 \cdot 0.05}{12}}{1 - \frac{1}{2.71264028}}$

Divide $1$ by $2.71264028$ .

$\frac{\frac{160000 \cdot 0.05}{12}}{1 - 1 \cdot 0.36864452}$

Multiply $- 1$ by $0.36864452$ .

$\frac{\frac{160000 \cdot 0.05}{12}}{1 - 0.36864452}$

Subtract $0.36864452$ from $1$ .

$\frac{\frac{160000 \cdot 0.05}{12}}{0.63135547}$

Reduce the expression by cancelling the common factors.

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Multiply $160000$ by $0.05$ .

$\frac{\frac{8000}{12}}{0.63135547}$

Cancel the common factor of $8000$ and $12$ .

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Factor $4$ out of $8000$ .

$\frac{\frac{4 (2000)}{12}}{0.63135547}$

Cancel the common factors.

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Factor $4$ out of $12$ .

$\frac{\frac{4 \cdot 2000}{4 \cdot 3}}{0.63135547}$

Cancel the common factor.

$\frac{\frac{4 \cdot 2000}{4 \cdot 3}}{0.63135547}$

Rewrite the expression.

$\frac{\frac{2000}{3}}{0.63135547}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{2000}{3} \cdot \frac{1}{0.63135547}$

Divide $1$ by $0.63135547$ .

$\frac{2000}{3} \cdot 1.58389377$

Multiply $\frac{2000}{3} \cdot 1.58389377$ .

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Combine $\frac{2000}{3}$ and $1.58389377$ .

$\frac{2000 \cdot 1.58389377}{3}$

Multiply $2000$ by $1.58389377$ .

$\frac{3167.78754823}{3}$

Divide $3167.78754823$ by $3$ .

$1055.92918274$

Evaluate (160000(0.05/12))/(1-(1+0.05/12)^(-12*20))

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