Finite Math Examples

$\frac{30000}{1 + 20 e^{- 1.5 \cdot 4}}$

Step 1

Simplify the denominator.

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Step 1.1

Multiply $- 1.5$ by $4$ .

$\frac{30000}{1 + 20 e^{- 6}}$

Step 1.2

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

$\frac{30000}{1 + 20 \frac{1}{e^{6}}}$

Step 1.3

Combine $20$ and $\frac{1}{e^{6}}$ .

$\frac{30000}{1 + \frac{20}{e^{6}}}$

Step 1.4

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

$\frac{30000}{\frac{e^{6}}{e^{6}} + \frac{20}{e^{6}}}$

Step 1.5

Combine the numerators over the common denominator.

$\frac{30000}{\frac{e^{6} + 20}{e^{6}}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$30000 \frac{e^{6}}{e^{6} + 20}$

Step 3

Combine $30000$ and $\frac{e^{6}}{e^{6} + 20}$ .

$\frac{30000 e^{6}}{e^{6} + 20}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{30000 e^{6}}{e^{6} + 20}$

Decimal Form:

$28582.99669455 \dots$