Finite Math Examples

$\frac{40000}{2} \cdot (\frac{0.03}{1 - {(1 + \frac{0.03}{2})}^{- 12 \cdot 15}})$

Step 1

Simplify the denominator.

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Step 1.1

Divide $0.03$ by $2$ .

$\frac{40000}{2} \cdot \frac{0.03}{1 - {(1 + 0.015)}^{- 12 \cdot 15}}$

Step 1.2

Add $1$ and $0.015$ .

$\frac{40000}{2} \cdot \frac{0.03}{1 - {1.015}^{- 12 \cdot 15}}$

Step 1.3

Multiply $- 12$ by $15$ .

$\frac{40000}{2} \cdot \frac{0.03}{1 - {1.015}^{- 180}}$

Step 1.4

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

$\frac{40000}{2} \cdot \frac{0.03}{1 - \frac{1}{{1.015}^{180}}}$

Step 1.5

Raise $1.015$ to the power of $180$ .

$\frac{40000}{2} \cdot \frac{0.03}{1 - \frac{1}{14.58436768}}$

Step 1.6

Divide $1$ by $14.58436768$ .

$\frac{40000}{2} \cdot \frac{0.03}{1 - 1 \cdot 0.06856656}$

Step 1.7

Multiply $- 1$ by $0.06856656$ .

$\frac{40000}{2} \cdot \frac{0.03}{1 - 0.06856656}$

Step 1.8

Subtract $0.06856656$ from $1$ .

$\frac{40000}{2} \cdot \frac{0.03}{0.93143343}$

Step 2

Simplify the expression.

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Step 2.1

Divide $40000$ by $2$ .

$20000 \cdot \frac{0.03}{0.93143343}$

Step 2.2

Divide $0.03$ by $0.93143343$ .

$20000 \cdot 0.03220842$

Step 2.3

Multiply $20000$ by $0.03220842$ .

$644.16841576$