Finite Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Add $1$ and $0.08$ .

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

Step 1.1.2

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

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

Step 1.1.3

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

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

Step 1.1.4

Divide $1$ by $4.31570105$ .

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

Step 1.1.5

Multiply $- 1$ by $0.23171206$ .

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

Step 1.1.6

Subtract $0.23171206$ from $1$ .

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

Step 1.2

Cancel the common factor of $0.08$ .

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Step 1.2.1

Factor $0.08$ out of $500000$ .

$500000 + 0.08 (6250000) \frac{0.76828793}{0.08}$

Step 1.2.2

Cancel the common factor.

$500000 + 0.08 \cdot 6250000 \frac{0.76828793}{0.08}$

Step 1.2.3

Rewrite the expression.

$500000 + 6250000 \cdot 0.76828793$

Step 1.3

Multiply $6250000$ by $0.76828793$ .

$500000 + 4801799.60002261$

Step 2

Add $500000$ and $4801799.60002261$ .

$5301799.60002261$