Finite Math Examples

115.62 = x (0.04) (\frac{45}{365})

$115.62 = x (0.04) (\frac{45}{365})$

Step 1

Rewrite the equation as

x (0.04) (\frac{45}{365}) = 115.62

$x (0.04) (\frac{45}{365}) = 115.62$ .

x (0.04) (\frac{45}{365}) = 115.62

$x (0.04) (\frac{45}{365}) = 115.62$

Step 2

Simplify

x (0.04) (\frac{45}{365})

$x (0.04) (\frac{45}{365})$ .

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Step 2.1

Cancel the common factor of

0.04

$0.04$ .

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Step 2.1.1

Factor

0.04

$0.04$ out of

x (0.04)

$x (0.04)$ .

0.04 x \frac{45}{365} = 115.62

$0.04 x \frac{45}{365} = 115.62$

Step 2.1.2

Factor

0.04

$0.04$ out of

365

$365$ .

0.04 x \frac{45}{0.04 (9125)} = 115.62

$0.04 x \frac{45}{0.04 (9125)} = 115.62$

Step 2.1.3

Cancel the common factor.

$0.04 x \frac{45}{0.04 \cdot 9125} = 115.62$

Step 2.1.4

Rewrite the expression.

$x \frac{45}{9125} = 115.62$

$x \frac{45}{9125} = 115.62$

Step 2.2

Combine

$x$ and

$\frac{45}{9125}$ .

$\frac{x \cdot 45}{9125} = 115.62$

Step 2.3

Cancel the common factor of

$45$ and

$9125$ .

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Step 2.3.1

Factor

$5$ out of

$x \cdot 45$ .

$\frac{5 (x \cdot 9)}{9125} = 115.62$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor

$5$ out of

$9125$ .

$\frac{5 (x \cdot 9)}{5 (1825)} = 115.62$

Step 2.3.2.2

Cancel the common factor.

$\frac{5 (x \cdot 9)}{5 \cdot 1825} = 115.62$

Step 2.3.2.3

Rewrite the expression.

$\frac{x \cdot 9}{1825} = 115.62$

$\frac{x \cdot 9}{1825} = 115.62$

$\frac{x \cdot 9}{1825} = 115.62$

Step 2.4

Move

$9$ to the left of

$x$ .

$\frac{9 x}{1825} = 115.62$

$\frac{9 x}{1825} = 115.62$

Step 3

Multiply both sides of the equation by

$\frac{1825}{9}$ .

$\frac{1825}{9} \cdot \frac{9 x}{1825} = \frac{1825}{9} \cdot 115.62$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify

$\frac{1825}{9} \cdot \frac{9 x}{1825}$ .

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Step 4.1.1.1

Cancel the common factor of

$1825$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{1825}{9} \cdot \frac{9 x}{1825} = \frac{1825}{9} \cdot 115.62$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{9} (9 x) = \frac{1825}{9} \cdot 115.62$

$\frac{1}{9} (9 x) = \frac{1825}{9} \cdot 115.62$

Step 4.1.1.2

Cancel the common factor of

$9$ .

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Step 4.1.1.2.1

Factor

$9$ out of

$9 x$ .

$\frac{1}{9} (9 (x)) = \frac{1825}{9} \cdot 115.62$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{9} (9 x) = \frac{1825}{9} \cdot 115.62$

Step 4.1.1.2.3

Rewrite the expression.

$x = \frac{1825}{9} \cdot 115.62$

$x = \frac{1825}{9} \cdot 115.62$

$x = \frac{1825}{9} \cdot 115.62$

$x = \frac{1825}{9} \cdot 115.62$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify

$\frac{1825}{9} \cdot 115.62$ .

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Step 4.2.1.1

Multiply

$\frac{1825}{9} \cdot 115.62$ .

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Step 4.2.1.1.1

Combine

$\frac{1825}{9}$ and

$115.62$ .

$x = \frac{1825 \cdot 115.62}{9}$

Step 4.2.1.1.2

Multiply

$1825$ by

$115.62$ .

$x = \frac{211006.5}{9}$

$x = \frac{211006.5}{9}$

Step 4.2.1.2

Divide

$211006.5$ by

$9$ .

$x = 23445.1\overline{6}$

$x = 23445.1\overline{6}$

$x = 23445.1\overline{6}$

$x = 23445.1\overline{6}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$