Calculus Examples

$S (t) = 96 - 90 e^{- 0.3 t}$ , $t = 5$

Step 1

Replace the variable $t$ with $5$ in the expression.

$S (5) = 96 - 90 e^{- 0.3 \cdot 5}$

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Multiply $- 0.3$ by $5$ .

$S (5) = 96 - 90 e^{- 1.5}$

Step 2.1.2

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

$S (5) = 96 - 90 \frac{1}{e^{1.5}}$

Step 2.1.3

Combine $- 90$ and $\frac{1}{e^{1.5}}$ .

$S (5) = 96 + \frac{- 90}{e^{1.5}}$

Step 2.1.4

Move the negative in front of the fraction.

$S (5) = 96 - \frac{90}{e^{1.5}}$

Step 2.2

The final answer is $96 - \frac{90}{e^{1.5}}$ .

$96 - \frac{90}{e^{1.5}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$96 - \frac{90}{e^{1.5}}$

Decimal Form:

$75.91828558 \dots$

Step 4