Finite Math Examples

$p (10) = 600 e^{0.04 t}$

Step 1

Divide each term in $p (10) = 600 e^{0.04 t}$ by $10$ .

$\frac{p \cdot 10}{10} = \frac{600 e^{0.04 t}}{10}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $10$ .

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Step 2.1.1

Cancel the common factor.

$\frac{p \cdot 10}{10} = \frac{600 e^{0.04 t}}{10}$

Step 2.1.2

Divide $p$ by $1$ .

$p = \frac{600 e^{0.04 t}}{10}$

Step 3

Simplify the right side.

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Step 3.1

Cancel the common factor of $600$ and $10$ .

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Step 3.1.1

Factor $10$ out of $600 e^{0.04 t}$ .

$p = \frac{10 (60 e^{0.04 t})}{10}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $10$ out of $10$ .

$p = \frac{10 (60 e^{0.04 t})}{10 (1)}$

Step 3.1.2.2

Cancel the common factor.

$p = \frac{10 (60 e^{0.04 t})}{10 \cdot 1}$

Step 3.1.2.3

Rewrite the expression.

$p = \frac{60 e^{0.04 t}}{1}$

Step 3.1.2.4

Divide $60 e^{0.04 t}$ by $1$ .

$p = 60 e^{0.04 t}$