Finite Math Examples

$7000 (\frac{1 - {(1.065)}^{- 2 \cdot 2}}{\frac{2}{2}})$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $- 2$ by $2$ .

$7000 \frac{1 - {1.065}^{- 4}}{\frac{2}{2}}$

Step 1.2

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

$7000 \frac{1 - \frac{1}{{1.065}^{4}}}{\frac{2}{2}}$

Step 1.3

Raise $1.065$ to the power of $4$ .

$7000 \frac{1 - \frac{1}{1.28646635}}{\frac{2}{2}}$

Step 1.4

Divide $1$ by $1.28646635$ .

$7000 \frac{1 - 1 \cdot 0.77732309}{\frac{2}{2}}$

Step 1.5

Multiply $- 1$ by $0.77732309$ .

$7000 \frac{1 - 0.77732309}{\frac{2}{2}}$

Step 1.6

Subtract $0.77732309$ from $1$ .

$7000 \frac{0.2226769}{\frac{2}{2}}$

Step 2

Simplify the expression.

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Step 2.1

Divide $2$ by $2$ .

$7000 (\frac{0.2226769}{1})$

Step 2.2

Divide $0.2226769$ by $1$ .

$7000 \cdot 0.2226769$

Step 2.3

Multiply $7000$ by $0.2226769$ .

$1558.73836373$