Finite Math Examples

30000 e^{- 0.7 \cdot 3}

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

Step 1

Write

30000 e^{- 0.7 \cdot 3}

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

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

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

Step 2

Find the x-intercepts.

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Step 2.1

Simplify

30000 e^{- 0.7 \cdot 3}

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

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Step 2.1.1

Multiply

- 0.7

$- 0.7$ by

3

$3$ .

y = 30000 e^{- 2.1}

$y = 30000 e^{- 2.1}$

Step 2.1.2

Rewrite the expression using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

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

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

Step 2.1.3

Combine

30000

$30000$ and

\frac{1}{e^{2.1}}

$\frac{1}{e^{2.1}}$ .

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

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

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

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

Step 2.2

Since

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

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

y

$y$ .

x-intercept(s):

None

$None$

x-intercept(s):

None

$None$

Step 3

Since

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

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

y

$y$ .

y-intercept(s):

\frac{30000}{e^{2.1}}

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

Step 4

List the intersections.

x-intercept(s):

None

$None$

y-intercept(s):

\frac{30000}{e^{2.1}}

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

Step 5