Basic Math Examples

$\frac{100000 \cdot (\frac{0.05}{1})}{1 - {(1 + \frac{0.05}{1})}^{- 1 \cdot 20}}$

Step 1

Multiply.

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Step 1.1

Divide $0.05$ by $1$ .

$\frac{100000 \cdot 0.05}{1 - {(1 + \frac{0.05}{1})}^{- 1 \cdot 20}}$

Step 1.2

Divide $0.05$ by $1$ .

$\frac{100000 \cdot 0.05}{1 - {(1 + 0.05)}^{- 1 \cdot 20}}$

Step 1.3

Multiply $100000$ by $0.05$ .

$\frac{5000}{1 - {(1 + 0.05)}^{- 1 \cdot 20}}$

Step 2

Simplify the denominator.

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Step 2.1

Add $1$ and $0.05$ .

$\frac{5000}{1 - {1.05}^{- 1 \cdot 20}}$

Step 2.2

Multiply $- 1$ by $20$ .

$\frac{5000}{1 - {1.05}^{- 20}}$

Step 2.3

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

$\frac{5000}{1 - \frac{1}{{1.05}^{20}}}$

Step 2.4

Raise $1.05$ to the power of $20$ .

$\frac{5000}{1 - \frac{1}{2.6532977}}$

Step 2.5

Divide $1$ by $2.6532977$ .

$\frac{5000}{1 - 1 \cdot 0.37688948}$

Step 2.6

Multiply $- 1$ by $0.37688948$ .

$\frac{5000}{1 - 0.37688948}$

Step 2.7

Subtract $0.37688948$ from $1$ .

$\frac{5000}{0.62311051}$

Step 3

Divide $5000$ by $0.62311051$ .

$8024.25871906$