Finite Math Examples

$70000 = p \cdot \frac{1 - {(1.12)}^{- 180}}{0.12}$

Step 1

Rewrite the equation as $p \cdot \frac{1 - {1.12}^{- 180}}{0.12} = 70000$ .

$p \cdot \frac{1 - {1.12}^{- 180}}{0.12} = 70000$

Step 2

Simplify.

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Step 2.1

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

$p \cdot \frac{1 - \frac{1}{{1.12}^{180}}}{0.12} = 70000$

Step 2.2

Raise $1.12$ to the power of $180$ .

$p \cdot \frac{1 - \frac{1}{723176126.273568}}{0.12} = 70000$

Step 2.3

Divide $1$ by $723176126.273568$ .

$p \cdot \frac{1 - 1 \cdot 0}{0.12} = 70000$

Step 2.4

Multiply $- 1$ by $0$ .

$p \cdot \frac{10}{0.12} = 70000$

Step 2.5

Subtract $0$ from $1$ .

$p \cdot \frac{0.99999999}{0.12} = 70000$

Step 2.6

Divide $0.99999999$ by $0.12$ .

$p \cdot 8.33333332 = 70000$

Step 3

Divide each term in $p \cdot 8.33333332 = 70000$ by $8.33333332$ and simplify.

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Step 3.1

Divide each term in $p \cdot 8.33333332 = 70000$ by $8.33333332$ .

$\frac{p \cdot 8.33333332}{8.33333332} = \frac{70000}{8.33333332}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $8.33333332$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{p \cdot 8.33333332}{8.33333332} = \frac{70000}{8.33333332}$

Step 3.2.1.2

Divide $p$ by $1$ .

$p = \frac{70000}{8.33333332}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $70000$ by $8.33333332$ .

$p = 8400.00001161$