Precalculus Examples

$f (t) = \frac{100}{1 + 9 e^{- 0.1 t}}$ , $t = 0$

Step 1

Replace the variable $t$ with $0$ in the expression.

$f (0) = \frac{100}{1 + 9 e^{- 0.1 \cdot 0}}$

Step 2

Simplify the result.

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Step 2.1

Simplify the denominator.

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Step 2.1.1

Multiply $- 0.1$ by $0$ .

$f (0) = \frac{100}{1 + 9 e^{0}}$

Step 2.1.2

Anything raised to $0$ is $1$ .

$f (0) = \frac{100}{1 + 9 \cdot 1}$

Step 2.1.3

Multiply $9$ by $1$ .

$f (0) = \frac{100}{1 + 9}$

Step 2.1.4

Add $1$ and $9$ .

$f (0) = \frac{100}{10}$

Step 2.2

Divide $100$ by $10$ .

$f (0) = 10$

Step 2.3

The final answer is $10$ .

$10$

Step 3