Finite Math Examples

$y = 89.97 e^{- 0.023 \cdot 102}$

Step 1

Multiply $- 0.023$ by $102$ .

$y = 89.97 e^{- 2.346}$

Step 2

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

$y = 89.97 \frac{1}{e^{2.346}}$

Step 3

Combine $89.97$ and $\frac{1}{e^{2.346}}$ .

$y = \frac{89.97}{e^{2.346}}$

Step 4

Replace $e$ with an approximation.

$y = \frac{89.97}{{2.71828182}^{2.346}}$

Step 5

Raise $2.71828182$ to the power of $2.346$ .

$y = \frac{89.97}{10.44371121}$

Step 6

Divide $89.97$ by $10.44371121$ .

$y = 8.61475371$