Finite Math Examples

$y = \frac{500000 (\frac{0.055}{12})}{{(1 + \frac{0.055}{12})}^{120} - 1}$

Step 1

Combine $500000$ and $\frac{0.055}{12}$ .

$y = \frac{\frac{500000 \cdot 0.055}{12}}{{(1 + \frac{0.055}{12})}^{120} - 1}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.055$ by $12$ .

$y = \frac{\frac{500000 \cdot 0.055}{12}}{{(1 + 0.00458\overline{3})}^{120} - 1}$

Step 2.2

Add $1$ and $0.00458\overline{3}$ .

$y = \frac{\frac{500000 \cdot 0.055}{12}}{{1.00458\overline{3}}^{120} - 1}$

Step 2.3

Raise $1.00458\overline{3}$ to the power of $120$ .

$y = \frac{\frac{500000 \cdot 0.055}{12}}{1.73107641 - 1}$

Step 2.4

Subtract $1$ from $1.73107641$ .

$y = \frac{\frac{500000 \cdot 0.055}{12}}{0.73107641}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $500000$ by $0.055$ .

$y = \frac{\frac{27500}{12}}{0.73107641}$

Step 3.2

Cancel the common factor of $27500$ and $12$ .

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Step 3.2.1

Factor $4$ out of $27500$ .

$y = \frac{\frac{4 (6875)}{12}}{0.73107641}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $4$ out of $12$ .

$y = \frac{\frac{4 \cdot 6875}{4 \cdot 3}}{0.73107641}$

Step 3.2.2.2

Cancel the common factor.

$y = \frac{\frac{4 \cdot 6875}{4 \cdot 3}}{0.73107641}$

Step 3.2.2.3

Rewrite the expression.

$y = \frac{\frac{6875}{3}}{0.73107641}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{6875}{3} \cdot \frac{1}{0.73107641}$

Step 5

Divide $1$ by $0.73107641$ .

$y = \frac{6875}{3} \cdot 1.36784606$

Step 6

Multiply $\frac{6875}{3} \cdot 1.36784606$ .

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Step 6.1

Combine $\frac{6875}{3}$ and $1.36784606$ .

$y = \frac{6875 \cdot 1.36784606}{3}$

Step 6.2

Multiply $6875$ by $1.36784606$ .

$y = \frac{9403.94169407}{3}$

Step 7

Divide $9403.94169407$ by $3$ .

$y = 3134.64723135$