Calculus Examples

$R (x) = 54000 x + 34000 {(10 + x)}^{- 1} - 8000$ , $x = 10$

Step 1

Replace the variable $x$ with $10$ in the expression.

$R (10) = 54000 (10) + 34000 {(10 + 10)}^{- 1} - 8000$

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

Remove parentheses.

$R (10) = 54000 (10) + 34000 {(10 + 10)}^{- 1} - 8000$

Step 2.2

Simplify each term.

Tap for more steps...

Step 2.2.1

Multiply $54000$ by $10$ .

$R (10) = 540000 + 34000 {(10 + 10)}^{- 1} - 8000$

Step 2.2.2

Add $10$ and $10$ .

$R (10) = 540000 + 34000 \cdot 20^{- 1} - 8000$

Step 2.2.3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$R (10) = 540000 + 34000 \cdot \frac{1}{20} - 8000$

Step 2.2.4

Cancel the common factor of $20$ .

Tap for more steps...

Step 2.2.4.1

Factor $20$ out of $34000$ .

$R (10) = 540000 + 20 (1700) \cdot \frac{1}{20} - 8000$

Step 2.2.4.2

Cancel the common factor.

$R (10) = 540000 + 20 \cdot 1700 \cdot \frac{1}{20} - 8000$

Step 2.2.4.3

Rewrite the expression.

$R (10) = 540000 + 1700 - 8000$

Step 2.3

Simplify by adding and subtracting.

Tap for more steps...

Step 2.3.1

Add $540000$ and $1700$ .

$R (10) = 541700 - 8000$

Step 2.3.2

Subtract $8000$ from $541700$ .

$R (10) = 533700$

Step 2.4

The final answer is $533700$ .

$533700$

Step 3