Basic Math Examples

P = \frac{8000000 (\frac{0.0575}{12})}{{(1 + \frac{0.0575}{12})}^{12 \cdot 30} - 1}

$P = \frac{8000000 (\frac{0.0575}{12})}{{(1 + \frac{0.0575}{12})}^{12 \cdot 30} - 1}$

Step 1

Combine

8000000

$8000000$ and

\frac{0.0575}{12}

$\frac{0.0575}{12}$ .

P = \frac{\frac{8000000 \cdot 0.0575}{12}}{{(1 + \frac{0.0575}{12})}^{12 \cdot 30} - 1}

$P = \frac{\frac{8000000 \cdot 0.0575}{12}}{{(1 + \frac{0.0575}{12})}^{12 \cdot 30} - 1}$

Step 2

Simplify the denominator.

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Step 2.1

Divide

0.0575

$0.0575$ by

12

$12$ .

P = \frac{\frac{8000000 \cdot 0.0575}{12}}{{(1 + 0.004791 ¯ 6)}^{12 \cdot 30} - 1}

$P = \frac{\frac{8000000 \cdot 0.0575}{12}}{{(1 + 0.004791\overline{6})}^{12 \cdot 30} - 1}$

Step 2.2

Add

1

$1$ and

0.004791 ¯ 6

$0.004791\overline{6}$ .

P = \frac{\frac{8000000 \cdot 0.0575}{12}}{{1.004791 ¯ 6}^{12 \cdot 30} - 1}

$P = \frac{\frac{8000000 \cdot 0.0575}{12}}{{1.004791\overline{6}}^{12 \cdot 30} - 1}$

Step 2.3

Multiply

12

$12$ by

30

$30$ .

P = \frac{\frac{8000000 \cdot 0.0575}{12}}{{1.004791 ¯ 6}^{360} - 1}

$P = \frac{\frac{8000000 \cdot 0.0575}{12}}{{1.004791\overline{6}}^{360} - 1}$

Step 2.4

Raise

1.004791 ¯ 6

$1.004791\overline{6}$ to the power of

360

$360$ .

P = \frac{\frac{8000000 \cdot 0.0575}{12}}{5.58944692 - 1}

$P = \frac{\frac{8000000 \cdot 0.0575}{12}}{5.58944692 - 1}$

Step 2.5

Subtract

1

$1$ from

5.58944692

$5.58944692$ .

P = \frac{\frac{8000000 \cdot 0.0575}{12}}{4.58944692}

$P = \frac{\frac{8000000 \cdot 0.0575}{12}}{4.58944692}$

P = \frac{\frac{8000000 \cdot 0.0575}{12}}{4.58944692}

$P = \frac{\frac{8000000 \cdot 0.0575}{12}}{4.58944692}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply

8000000

$8000000$ by

0.0575

$0.0575$ .

P = \frac{\frac{460000}{12}}{4.58944692}

$P = \frac{\frac{460000}{12}}{4.58944692}$

Step 3.2

Cancel the common factor of

460000

$460000$ and

12

$12$ .

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Step 3.2.1

Factor

4

$4$ out of

460000

$460000$ .

P = \frac{\frac{4 (115000)}{12}}{4.58944692}

$P = \frac{\frac{4 (115000)}{12}}{4.58944692}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor

4

$4$ out of

12

$12$ .

P = \frac{\frac{4 \cdot 115000}{4 \cdot 3}}{4.58944692}

$P = \frac{\frac{4 \cdot 115000}{4 \cdot 3}}{4.58944692}$

Step 3.2.2.2

Cancel the common factor.

$P = \frac{\frac{4 \cdot 115000}{4 \cdot 3}}{4.58944692}$

Step 3.2.2.3

Rewrite the expression.

$P = \frac{\frac{115000}{3}}{4.58944692}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$P = \frac{115000}{3} \cdot \frac{1}{4.58944692}$

Step 5

Divide

$1$ by

$4.58944692$ .

$P = \frac{115000}{3} \cdot 0.21789117$

Step 6

Multiply

$\frac{115000}{3} \cdot 0.21789117$ .

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Step 6.1

Combine

$\frac{115000}{3}$ and

$0.21789117$ .

$P = \frac{115000 \cdot 0.21789117}{3}$

Step 6.2

Multiply

$115000$ by

$0.21789117$ .

$P = \frac{25057.48554645}{3}$

Step 7

Divide

$25057.48554645$ by

$3$ .

$P = 8352.49518215$