Finite Math Examples

$\frac{80 ({(1 + \frac{0.04}{6})}^{6 (10)} - 1)}{\frac{0.04}{6}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$80 ({(1 + \frac{0.04}{6})}^{6 (10)} - 1) \frac{6}{0.04}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $0.04$ .

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Step 2.1.1

Factor $0.04$ out of $80 ({(1 + \frac{0.04}{6})}^{6 (10)} - 1)$ .

$0.04 (2000 ({(1 + \frac{0.04}{6})}^{6 (10)} - 1)) \frac{6}{0.04}$

Step 2.1.2

Cancel the common factor.

$0.04 (2000 ({(1 + \frac{0.04}{6})}^{6 (10)} - 1)) \frac{6}{0.04}$

Step 2.1.3

Rewrite the expression.

$2000 ({(1 + \frac{0.04}{6})}^{6 (10)} - 1) \cdot 6$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $6$ by $10$ .

$2000 ({(1 + \frac{0.04}{6})}^{60} - 1) \cdot 6$

Step 2.2.2

Multiply $6$ by $2000$ .

$12000 ({(1 + \frac{0.04}{6})}^{60} - 1)$

Step 3

Simplify each term.

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Step 3.1

Divide $0.04$ by $6$ .

$12000 ({(1 + 0.00\overline{6})}^{60} - 1)$

Step 3.2

Add $1$ and $0.00\overline{6}$ .

$12000 ({1.00\overline{6}}^{60} - 1)$

Step 3.3

Raise $1.00\overline{6}$ to the power of $60$ .

$12000 (1.4898457 - 1)$

Step 4

Simplify the expression.

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Step 4.1

Subtract $1$ from $1.4898457$ .

$12000 \cdot 0.4898457$

Step 4.2

Multiply $12000$ by $0.4898457$ .

$5878.14849961$