Finite Math Examples

$500000 + \frac{1 - {(1 + 0.08)}^{- 19}}{0.08}$

Step 1

Add $1$ and $0.08$ .

$500000 + \frac{1 - {1.08}^{- 19}}{0.08}$

Step 2

Simplify each term.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

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

$500000 + \frac{1 - \frac{1}{{1.08}^{19}}}{0.08}$

Step 2.1.2

Raise $1.08$ to the power of $19$ .

$500000 + \frac{1 - \frac{1}{4.31570105}}{0.08}$

Step 2.1.3

Divide $1$ by $4.31570105$ .

$500000 + \frac{1 - 1 \cdot 0.23171206}{0.08}$

Step 2.1.4

Multiply $- 1$ by $0.23171206$ .

$500000 + \frac{1 - 0.23171206}{0.08}$

Step 2.1.5

Subtract $0.23171206$ from $1$ .

$500000 + \frac{0.76828793}{0.08}$

Step 2.2

Divide $0.76828793$ by $0.08$ .

$500000 + 9.6035992$

Step 3

Add $500000$ and $9.6035992$ .

$500009.6035992$