Finite Math Examples

$v = 533 (\frac{{(1.005)}^{60} - 1}{0.005})$

Step 1

Remove parentheses.

$v = 533 (\frac{{1.005}^{60} - 1}{0.005})$

Step 2

Simplify $533 (\frac{{1.005}^{60} - 1}{0.005})$ .

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $1.005$ to the power of $60$ .

$v = 533 \frac{1.34885015 - 1}{0.005}$

Step 2.1.2

Subtract $1$ from $1.34885015$ .

$v = 533 (\frac{0.34885015}{0.005})$

$v = 533 (\frac{0.34885015}{0.005})$

Step 2.2

Reduce the expression by cancelling the common factors.

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Step 2.2.1

Cancel the common factor of $0.005$ .

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Step 2.2.1.1

Factor $0.005$ out of $533$ .

$v = 0.005 (106600) \frac{0.34885015}{0.005}$

Step 2.2.1.2

Cancel the common factor.

$v = 0.005 \cdot 106600 \frac{0.34885015}{0.005}$

Step 2.2.1.3

Rewrite the expression.

$v = 106600 \cdot 0.34885015$

$v = 106600 \cdot 0.34885015$

Step 2.2.2

Multiply $106600$ by $0.34885015$ .

$v = 37187.42626175$

$v = 37187.42626175$

$v = 37187.42626175$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$