Finite Math Examples

$20000 = p e^{0.027 \cdot 15}$

Step 1

Rewrite the equation as $p e^{0.027 \cdot 15} = 20000$ .

$p e^{0.027 \cdot 15} = 20000$

Step 2

Multiply $0.027$ by $15$ .

$p e^{0.405} = 20000$

Step 3

Divide each term in $p e^{0.405} = 20000$ by $e^{0.405}$ and simplify.

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Step 3.1

Divide each term in $p e^{0.405} = 20000$ by $e^{0.405}$ .

$\frac{p e^{0.405}}{e^{0.405}} = \frac{20000}{e^{0.405}}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $e^{0.405}$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{p e^{0.405}}{e^{0.405}} = \frac{20000}{e^{0.405}}$

Step 3.2.1.2

Divide $p$ by $1$ .

$p = \frac{20000}{e^{0.405}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$p = \frac{20000}{e^{0.405}}$

Decimal Form:

$p = 13339.53621716 \dots$