Calculus Examples

$f (550) = 125 + \frac{x}{10} + \frac{33000}{x}$

Step 1

Replace the variable $x$ with $550$ in the expression.

$f (550) = 125 + \frac{550}{10} + \frac{33000}{550}$

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

Find the common denominator.

Tap for more steps...

Step 2.1.1

Write $125$ as a fraction with denominator $1$ .

$f (550) = \frac{125}{1} + \frac{550}{10} + \frac{33000}{550}$

Step 2.1.2

Multiply $\frac{125}{1}$ by $\frac{550}{550}$ .

$f (550) = \frac{125}{1} \cdot \frac{550}{550} + \frac{550}{10} + \frac{33000}{550}$

Step 2.1.3

Multiply $\frac{125}{1}$ by $\frac{550}{550}$ .

$f (550) = \frac{125 \cdot 550}{550} + \frac{550}{10} + \frac{33000}{550}$

Step 2.1.4

Multiply $\frac{550}{10}$ by $\frac{55}{55}$ .

$f (550) = \frac{125 \cdot 550}{550} + \frac{550}{10} \cdot \frac{55}{55} + \frac{33000}{550}$

Step 2.1.5

Multiply $\frac{550}{10}$ by $\frac{55}{55}$ .

$f (550) = \frac{125 \cdot 550}{550} + \frac{550 \cdot 55}{10 \cdot 55} + \frac{33000}{550}$

Step 2.1.6

Multiply $10$ by $55$ .

$f (550) = \frac{125 \cdot 550}{550} + \frac{550 \cdot 55}{550} + \frac{33000}{550}$

Step 2.2

Combine the numerators over the common denominator.

$f (550) = \frac{125 \cdot 550 + 550 \cdot 55 + 33000}{550}$

Step 2.3

Simplify each term.

Tap for more steps...

Step 2.3.1

Multiply $125$ by $550$ .

$f (550) = \frac{68750 + 550 \cdot 55 + 33000}{550}$

Step 2.3.2

Multiply $550$ by $55$ .

$f (550) = \frac{68750 + 30250 + 33000}{550}$

Step 2.4

Simplify the expression.

Tap for more steps...

Step 2.4.1

Add $68750$ and $30250$ .

$f (550) = \frac{99000 + 33000}{550}$

Step 2.4.2

Add $99000$ and $33000$ .

$f (550) = \frac{132000}{550}$

Step 2.4.3

Divide $132000$ by $550$ .

$f (550) = 240$

Step 2.5

The final answer is $240$ .

$240$

Step 3