Trigonometry Examples

$f (x) = \frac{4000}{1 + 16.3 e^{- 0.8 \cdot 20}}$

Step 1

Multiply $- 0.8$ by $20$ .

$f (x) = \frac{4000}{1 + 16.3 e^{- 16}}$

Step 2

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

$f (x) = \frac{4000}{1 + 16.3 (\frac{1}{e^{16}})}$

Step 3

Combine $16.3$ and $\frac{1}{e^{16}}$ .

$f (x) = \frac{4000}{1 + \frac{16.3}{e^{16}}}$

Step 4

Replace $e$ with an approximation.

$f (x) = \frac{4000}{1 + \frac{16.3}{{2.71828182}^{16}}}$

Step 5

Raise $2.71828182$ to the power of $16$ .

$f (x) = \frac{4000}{1 + \frac{16.3}{8886110.52050761}}$

Step 6

Divide $16.3$ by $8886110.52050761$ .

$f (x) = \frac{4000}{1 + 0.00000183}$

Step 7

Add $1$ and $0.00000183$ .

$f (x) = \frac{4000}{1.00000183}$

Step 8

Divide $4000$ by $1.00000183$ .

$f (x) = 3999.99266272$