Finite Math Examples

$(\frac{303}{222}) = (\frac{1 - e^{0.15 a}}{1 - e^{0.05 a}})$

Step 1

Simplify $\frac{303}{222}$ .

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Step 1.1

Remove parentheses.

$\frac{303}{222} = \frac{1 - e^{0.15 a}}{1 - e^{0.05 a}}$

Step 1.2

Cancel the common factor of $303$ and $222$ .

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Step 1.2.1

Factor $3$ out of $303$ .

$\frac{3 (101)}{222} = \frac{1 - e^{0.15 a}}{1 - e^{0.05 a}}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $3$ out of $222$ .

$\frac{3 \cdot 101}{3 \cdot 74} = \frac{1 - e^{0.15 a}}{1 - e^{0.05 a}}$

Step 1.2.2.2

Cancel the common factor.

$\frac{3 \cdot 101}{3 \cdot 74} = \frac{1 - e^{0.15 a}}{1 - e^{0.05 a}}$

Step 1.2.2.3

Rewrite the expression.

$\frac{101}{74} = \frac{1 - e^{0.15 a}}{1 - e^{0.05 a}}$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$a \approx - 25.16624317$

Step 3