Basic Math Examples

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

Step 1

Combine $8000000$ and $\frac{0.0575}{12}$ .

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

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Divide $0.0575$ by $12$ .

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

Step 2.2

Add $1$ and $0.004791\overline{6}$ .

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

Step 2.3

Multiply $12$ by $30$ .

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

Step 2.4

Raise $1.004791\overline{6}$ to the power of $360$ .

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

Step 2.5

Subtract $1$ from $5.58944692$ .

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

Step 3

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 3.1

Multiply $8000000$ by $0.0575$ .

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

Step 3.2

Cancel the common factor of $460000$ and $12$ .

Tap for more steps...

Step 3.2.1

Factor $4$ out of $460000$ .

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

Step 3.2.2

Cancel the common factors.

Tap for more steps...

Step 3.2.2.1

Factor $4$ out of $12$ .

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

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

Tap for more steps...

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 $3$ .

$P = 8352.49518215$