Basic Math Examples

$r = \frac{95000 (\frac{0.075}{12})}{1 - {(\frac{12}{12 + 0.075})}^{12 (10)}}$

Step 1

Combine fractions.

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Step 1.1

Add $12$ and $0.075$ .

$r = \frac{95000 (\frac{0.075}{12})}{1 - {(\frac{12}{12.075})}^{12 (10)}}$

Step 1.2

Combine $95000$ and $\frac{0.075}{12}$ .

$r = \frac{\frac{95000 \cdot 0.075}{12}}{1 - {(\frac{12}{12.075})}^{12 (10)}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $12$ by $12.075$ .

$r = \frac{\frac{95000 \cdot 0.075}{12}}{1 - {0.99378881}^{12 (10)}}$

Step 2.2

Multiply $12$ by $10$ .

$r = \frac{\frac{95000 \cdot 0.075}{12}}{1 - {0.99378881}^{120}}$

Step 2.3

Raise $0.99378881$ to the power of $120$ .

$r = \frac{\frac{95000 \cdot 0.075}{12}}{1 - 1 \cdot 0.47347035}$

Step 2.4

Multiply $- 1$ by $0.47347035$ .

$r = \frac{\frac{95000 \cdot 0.075}{12}}{1 - 0.47347035}$

Step 2.5

Subtract $0.47347035$ from $1$ .

$r = \frac{\frac{95000 \cdot 0.075}{12}}{0.52652964}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $95000$ by $0.075$ .

$r = \frac{\frac{7125}{12}}{0.52652964}$

Step 3.2

Cancel the common factor of $7125$ and $12$ .

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Step 3.2.1

Factor $3$ out of $7125$ .

$r = \frac{\frac{3 (2375)}{12}}{0.52652964}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $3$ out of $12$ .

$r = \frac{\frac{3 \cdot 2375}{3 \cdot 4}}{0.52652964}$

Step 3.2.2.2

Cancel the common factor.

$r = \frac{\frac{3 \cdot 2375}{3 \cdot 4}}{0.52652964}$

Step 3.2.2.3

Rewrite the expression.

$r = \frac{\frac{2375}{4}}{0.52652964}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$r = \frac{2375}{4} \cdot \frac{1}{0.52652964}$

Step 5

Divide $1$ by $0.52652964$ .

$r = \frac{2375}{4} \cdot 1.8992283$

Step 6

Multiply $\frac{2375}{4} \cdot 1.8992283$ .

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Step 6.1

Combine $\frac{2375}{4}$ and $1.8992283$ .

$r = \frac{2375 \cdot 1.8992283}{4}$

Step 6.2

Multiply $2375$ by $1.8992283$ .

$r = \frac{4510.66722716}{4}$

Step 7

Divide $4510.66722716$ by $4$ .

$r = 1127.66680679$