Finite Math Examples

$30000 e^{- 0.7 \cdot 3}$

Step 1

Write $30000 e^{- 0.7 \cdot 3}$ as an equation.

$y = 30000 e^{- 0.7 \cdot 3}$

Step 2

Find the x-intercepts.

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Step 2.1

Simplify $30000 e^{- 0.7 \cdot 3}$ .

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Step 2.1.1

Multiply $- 0.7$ by $3$ .

$y = 30000 e^{- 2.1}$

Step 2.1.2

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

$y = 30000 \frac{1}{e^{2.1}}$

Step 2.1.3

Combine $30000$ and $\frac{1}{e^{2.1}}$ .

$y = \frac{30000}{e^{2.1}}$

Step 2.2

Since $y = \frac{30000}{e^{2.1}}$ is a horizontal line, the x-intercept(s) is equal to the value of $y$ .

x-intercept(s): $None$

Step 3

Since $y = \frac{30000}{e^{2.1}}$ is a horizontal line, the y-intercept(s) is equal to the value of $y$ .

y-intercept(s): $\frac{30000}{e^{2.1}}$

Step 4

List the intersections.

x-intercept(s): $None$

y-intercept(s): $\frac{30000}{e^{2.1}}$

Step 5