Finite Math Examples

$C (P) = \frac{7300 P}{100 - P} \cdot (f i n d C)$ , $C (45)$

Step 1

Replace the variable $P$ with $45$ in the expression.

$C (45) = \frac{7300 (45)}{100 - (45)} \cdot (f i n d C)$

Step 2

Simplify $\frac{7300 (45)}{100 - (45)} \cdot (f i n d C)$ .

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Step 2.1

Simplify the expression.

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Step 2.1.1

Remove parentheses.

$\frac{7300 (45)}{100 - (45)} \cdot (f i n d C)$

Step 2.1.2

Multiply $7300$ by $45$ .

$\frac{328500}{100 - (45)} \cdot (f i n d C)$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Multiply $- 1$ by $45$ .

$\frac{328500}{100 - 45} \cdot (f i n d C)$

Step 2.2.2

Subtract $45$ from $100$ .

$\frac{328500}{55} \cdot (f i n d C)$

Step 2.3

Cancel the common factor of $328500$ and $55$ .

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Step 2.3.1

Factor $5$ out of $328500$ .

$\frac{5 (65700)}{55} \cdot (f i n d C)$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $5$ out of $55$ .

$\frac{5 \cdot 65700}{5 \cdot 11} \cdot (f i n d C)$

Step 2.3.2.2

Cancel the common factor.

$\frac{5 \cdot 65700}{5 \cdot 11} \cdot (f i n d C)$

Step 2.3.2.3

Rewrite the expression.

$\frac{65700}{11} \cdot (f i n d C)$

Step 2.4

Multiply $\frac{65700}{11} (f i n d C)$ .

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Step 2.4.1

Combine $f$ and $\frac{65700}{11}$ .

$\frac{f \cdot 65700}{11} (i n d C)$

Step 2.4.2

Combine $i$ and $\frac{f \cdot 65700}{11}$ .

$\frac{i (f \cdot 65700)}{11} (n d C)$

Step 2.4.3

Combine $n$ and $\frac{i (f \cdot 65700)}{11}$ .

$\frac{n (i (f \cdot 65700))}{11} (d C)$

Step 2.4.4

Combine $d$ and $\frac{n (i (f \cdot 65700))}{11}$ .

$\frac{d (n (i (f \cdot 65700)))}{11} C$

Step 2.4.5

Combine $\frac{d (n (i (f \cdot 65700)))}{11}$ and $C$ .

$\frac{d (n (i (f \cdot 65700))) C}{11}$

Step 2.5

Move $65700$ to the left of $d n i f$ .

$\frac{65700 d n i f C}{11}$