Precalculus Examples

$c (13) = 0.04 (1 - e^{- 0.2 (13)})$

Step 1

Simplify.

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Step 1.1

Multiply $- 0.2$ by $13$ .

$c (13) = 0.04 (1 - e^{- 2.6})$

Step 1.2

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

$c (13) = 0.04 (1 - \frac{1}{e^{2.6}})$

Step 1.3

Multiply $0.04$ by $1 - \frac{1}{e^{2.6}}$ .

$c (13) = 0.03702905$

Step 2

Divide each term in $c (13) = 0.03702905$ by $13$ and simplify.

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Step 2.1

Divide each term in $c (13) = 0.03702905$ by $13$ .

$\frac{c (13)}{13} = \frac{0.03702905}{13}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $13$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{c \cdot 13}{13} = \frac{0.03702905}{13}$

Step 2.2.1.2

Divide $c$ by $1$ .

$c = \frac{0.03702905}{13}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $0.03702905$ by $13$ .

$c = 0.00284838$