Finite Math Examples

$r = \frac{(\frac{0.02875}{12}) \cdot 184000}{1 - {(\frac{0.02875}{12} + 1)}^{- 180}}$

Step 1

Multiply $\frac{0.02875}{12}$ by $184000$ .

$r = \frac{\frac{0.02875}{12} \cdot 184000}{1 - {(\frac{0.02875}{12} + 1)}^{- 180}}$

Step 2

Simplify $\frac{\frac{0.02875}{12} \cdot 184000}{1 - {(\frac{0.02875}{12} + 1)}^{- 180}}$ .

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Step 2.1

Combine $\frac{0.02875}{12}$ and $184000$ .

$r = \frac{\frac{0.02875 \cdot 184000}{12}}{1 - {(\frac{0.02875}{12} + 1)}^{- 180}}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Divide $0.02875$ by $12$ .

$r = \frac{\frac{0.02875 \cdot 184000}{12}}{1 - {(0.00239583 + 1)}^{- 180}}$

Step 2.2.2

Add $0.00239583$ and $1$ .

$r = \frac{\frac{0.02875 \cdot 184000}{12}}{1 - {1.00239583}^{- 180}}$

Step 2.2.3

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

$r = \frac{\frac{0.02875 \cdot 184000}{12}}{1 - \frac{1}{{1.00239583}^{180}}}$

Step 2.2.4

Raise $1.00239583$ to the power of $180$ .

$r = \frac{\frac{0.02875 \cdot 184000}{12}}{1 - \frac{1}{1.53838662}}$

Step 2.2.5

Divide $1$ by $1.53838662$ .

$r = \frac{\frac{0.02875 \cdot 184000}{12}}{1 - 1 \cdot 0.65003165}$

Step 2.2.6

Multiply $- 1$ by $0.65003165$ .

$r = \frac{\frac{0.02875 \cdot 184000}{12}}{1 - 0.65003165}$

Step 2.2.7

Subtract $0.65003165$ from $1$ .

$r = \frac{\frac{0.02875 \cdot 184000}{12}}{0.34996834}$

Step 2.3

Reduce the expression by cancelling the common factors.

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Step 2.3.1

Multiply $0.02875$ by $184000$ .

$r = \frac{\frac{5290}{12}}{0.34996834}$

Step 2.3.2

Cancel the common factor of $5290$ and $12$ .

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Step 2.3.2.1

Factor $2$ out of $5290$ .

$r = \frac{\frac{2 (2645)}{12}}{0.34996834}$

Step 2.3.2.2

Cancel the common factors.

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Step 2.3.2.2.1

Factor $2$ out of $12$ .

$r = \frac{\frac{2 \cdot 2645}{2 \cdot 6}}{0.34996834}$

Step 2.3.2.2.2

Cancel the common factor.

$r = \frac{\frac{2 \cdot 2645}{2 \cdot 6}}{0.34996834}$

Step 2.3.2.2.3

Rewrite the expression.

$r = \frac{\frac{2645}{6}}{0.34996834}$

Step 2.4

Multiply the numerator by the reciprocal of the denominator.

$r = \frac{2645}{6} \cdot \frac{1}{0.34996834}$

Step 2.5

Divide $1$ by $0.34996834$ .

$r = \frac{2645}{6} \cdot 2.85740126$

Step 2.6

Multiply $\frac{2645}{6} \cdot 2.85740126$ .

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Step 2.6.1

Combine $\frac{2645}{6}$ and $2.85740126$ .

$r = \frac{2645 \cdot 2.85740126}{6}$

Step 2.6.2

Multiply $2645$ by $2.85740126$ .

$r = \frac{7557.82634107}{6}$

Step 2.7

Divide $7557.82634107$ by $6$ .

$r = 1259.63772351$