Finite Math Examples

$\frac{28000}{12} \cdot (\frac{0.09}{1 - {(1 + \frac{0.09}{12})}^{- 12 \cdot 3}})$

Step 1

Simplify the denominator.

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Step 1.1

Divide $0.09$ by $12$ .

$\frac{28000}{12} \cdot \frac{0.09}{1 - {(1 + 0.0075)}^{- 12 \cdot 3}}$

Step 1.2

Add $1$ and $0.0075$ .

$\frac{28000}{12} \cdot \frac{0.09}{1 - {1.0075}^{- 12 \cdot 3}}$

Step 1.3

Multiply $- 12$ by $3$ .

$\frac{28000}{12} \cdot \frac{0.09}{1 - {1.0075}^{- 36}}$

Step 1.4

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

$\frac{28000}{12} \cdot \frac{0.09}{1 - \frac{1}{{1.0075}^{36}}}$

Step 1.5

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

$\frac{28000}{12} \cdot \frac{0.09}{1 - \frac{1}{1.30864537}}$

Step 1.6

Divide $1$ by $1.30864537$ .

$\frac{28000}{12} \cdot \frac{0.09}{1 - 1 \cdot 0.76414896}$

Step 1.7

Multiply $- 1$ by $0.76414896$ .

$\frac{28000}{12} \cdot \frac{0.09}{1 - 0.76414896}$

Step 1.8

Subtract $0.76414896$ from $1$ .

$\frac{28000}{12} \cdot \frac{0.09}{0.23585103}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $28000$ and $12$ .

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Step 2.1.1

Factor $4$ out of $28000$ .

$\frac{4 (7000)}{12} \cdot \frac{0.09}{0.23585103}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $4$ out of $12$ .

$\frac{4 \cdot 7000}{4 \cdot 3} \cdot \frac{0.09}{0.23585103}$

Step 2.1.2.2

Cancel the common factor.

$\frac{4 \cdot 7000}{4 \cdot 3} \cdot \frac{0.09}{0.23585103}$

Step 2.1.2.3

Rewrite the expression.

$\frac{7000}{3} \cdot \frac{0.09}{0.23585103}$

Step 2.2

Divide $0.09$ by $0.23585103$ .

$\frac{7000}{3} \cdot 0.38159679$

Step 3

Multiply $\frac{7000}{3} \cdot 0.38159679$ .

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Step 3.1

Combine $\frac{7000}{3}$ and $0.38159679$ .

$\frac{7000 \cdot 0.38159679}{3}$

Step 3.2

Multiply $7000$ by $0.38159679$ .

$\frac{2671.17754343}{3}$

Step 4

Divide $2671.17754343$ by $3$ .

$890.39251447$