Finite Math Examples

$\frac{f (12) (3600)}{1 + 7 e^{- 0.05 \cdot 12}}$

Step 1

Multiply $3600$ by $12$ .

$\frac{f \cdot 43200}{1 + 7 e^{- 0.05 \cdot 12}}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $- 0.05$ by $12$ .

$\frac{f \cdot 43200}{1 + 7 e^{- 0.6}}$

Step 2.2

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

$\frac{f \cdot 43200}{1 + 7 \frac{1}{e^{0.6}}}$

Step 2.3

Combine $7$ and $\frac{1}{e^{0.6}}$ .

$\frac{f \cdot 43200}{1 + \frac{7}{e^{0.6}}}$

Step 2.4

Write $1$ as a fraction with a common denominator.

$\frac{f \cdot 43200}{\frac{e^{0.6}}{e^{0.6}} + \frac{7}{e^{0.6}}}$

Step 2.5

Combine the numerators over the common denominator.

$\frac{f \cdot 43200}{\frac{e^{0.6} + 7}{e^{0.6}}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$f \cdot 43200 \frac{e^{0.6}}{e^{0.6} + 7}$

Step 4

Move $43200$ to the left of $f$ .

$43200 \cdot f \frac{e^{0.6}}{e^{0.6} + 7}$

Step 5

Multiply $43200 f \frac{e^{0.6}}{e^{0.6} + 7}$ .

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Step 5.1

Combine $43200$ and $\frac{e^{0.6}}{e^{0.6} + 7}$ .

$f \frac{43200 e^{0.6}}{e^{0.6} + 7}$

Step 5.2

Combine $f$ and $\frac{43200 e^{0.6}}{e^{0.6} + 7}$ .

$\frac{f (43200 e^{0.6})}{e^{0.6} + 7}$

Step 6

Move $43200$ to the left of $f$ .

$\frac{43200 f e^{0.6}}{e^{0.6} + 7}$