Finite Math Examples

$\frac{4000000 (\frac{0.085}{12})}{{(1 + \frac{0.085}{12})}^{12 \cdot 35} - 1}$

Step 1

Combine $4000000$ and $\frac{0.085}{12}$ .

$\frac{\frac{4000000 \cdot 0.085}{12}}{{(1 + \frac{0.085}{12})}^{12 \cdot 35} - 1}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.085$ by $12$ .

$\frac{\frac{4000000 \cdot 0.085}{12}}{{(1 + 0.00708\overline{3})}^{12 \cdot 35} - 1}$

Step 2.2

Add $1$ and $0.00708\overline{3}$ .

$\frac{\frac{4000000 \cdot 0.085}{12}}{{1.00708\overline{3}}^{12 \cdot 35} - 1}$

Step 2.3

Multiply $12$ by $35$ .

$\frac{\frac{4000000 \cdot 0.085}{12}}{{1.00708\overline{3}}^{420} - 1}$

Step 2.4

Raise $1.00708\overline{3}$ to the power of $420$ .

$\frac{\frac{4000000 \cdot 0.085}{12}}{19.38526098 - 1}$

Step 2.5

Subtract $1$ from $19.38526098$ .

$\frac{\frac{4000000 \cdot 0.085}{12}}{18.38526098}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $4000000$ by $0.085$ .

$\frac{\frac{340000}{12}}{18.38526098}$

Step 3.2

Cancel the common factor of $340000$ and $12$ .

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Step 3.2.1

Factor $4$ out of $340000$ .

$\frac{\frac{4 (85000)}{12}}{18.38526098}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $4$ out of $12$ .

$\frac{\frac{4 \cdot 85000}{4 \cdot 3}}{18.38526098}$

Step 3.2.2.2

Cancel the common factor.

$\frac{\frac{4 \cdot 85000}{4 \cdot 3}}{18.38526098}$

Step 3.2.2.3

Rewrite the expression.

$\frac{\frac{85000}{3}}{18.38526098}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{85000}{3} \cdot \frac{1}{18.38526098}$

Step 5

Divide $1$ by $18.38526098$ .

$\frac{85000}{3} \cdot 0.05439139$

Step 6

Multiply $\frac{85000}{3} \cdot 0.05439139$ .

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Step 6.1

Combine $\frac{85000}{3}$ and $0.05439139$ .

$\frac{85000 \cdot 0.05439139}{3}$

Step 6.2

Multiply $85000$ by $0.05439139$ .

$\frac{4623.26860983}{3}$

Step 7

Divide $4623.26860983$ by $3$ .

$1541.08953661$