Finite Math Examples

$y = \frac{30000 (\frac{0.0475}{52})}{{(1 + \frac{0.055}{52})}^{364} - 1}$

Step 1

Combine $30000$ and $\frac{0.0475}{52}$ .

$y = \frac{\frac{30000 \cdot 0.0475}{52}}{{(1 + \frac{0.055}{52})}^{364} - 1}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.055$ by $52$ .

$y = \frac{\frac{30000 \cdot 0.0475}{52}}{{(1 + 0.00105769)}^{364} - 1}$

Step 2.2

Add $1$ and $0.00105769$ .

$y = \frac{\frac{30000 \cdot 0.0475}{52}}{{1.00105769}^{364} - 1}$

Step 2.3

Raise $1.00105769$ to the power of $364$ .

$y = \frac{\frac{30000 \cdot 0.0475}{52}}{1.46931534 - 1}$

Step 2.4

Subtract $1$ from $1.46931534$ .

$y = \frac{\frac{30000 \cdot 0.0475}{52}}{0.46931534}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $30000$ by $0.0475$ .

$y = \frac{\frac{1425}{52}}{0.46931534}$

Step 3.2

Cancel the common factor of $1425$ and $52$ .

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Step 3.2.1

Rewrite $1425$ as $1 (1425)$ .

$y = \frac{\frac{1 (1425)}{52}}{0.46931534}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Rewrite $52$ as $1 (52)$ .

$y = \frac{\frac{1 \cdot 1425}{1 \cdot 52}}{0.46931534}$

Step 3.2.2.2

Cancel the common factor.

$y = \frac{\frac{1 \cdot 1425}{1 \cdot 52}}{0.46931534}$

Step 3.2.2.3

Rewrite the expression.

$y = \frac{\frac{1425}{52}}{0.46931534}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{1425}{52} \cdot \frac{1}{0.46931534}$

Step 5

Divide $1$ by $0.46931534$ .

$y = \frac{1425}{52} \cdot 2.1307635$

Step 6

Multiply $\frac{1425}{52} \cdot 2.1307635$ .

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Step 6.1

Combine $\frac{1425}{52}$ and $2.1307635$ .

$y = \frac{1425 \cdot 2.1307635}{52}$

Step 6.2

Multiply $1425$ by $2.1307635$ .

$y = \frac{3036.33799354}{52}$

Step 7

Divide $3036.33799354$ by $52$ .

$y = 58.39111526$