The answer is 28 years
At = A0 * e^(-k * t)
At = 12 g
A0 = 15 g
k = 7.9 × 10^-3 = 0.0079
t = ?
12 = 15 * e^(-0.0079 * t)
12/15 = e^(-0.0079 * t)
0.8 = e^(-0.0079 * t)
Logarithm both sides (because ln(e) = 1:
ln(0.8) = ln(e^(-0.0079 * t))
ln(0.8) = (-0.0079 * t) * ln(e)
-0.223 = -0.0079 * t
t = -0.223 / -0.0079
t = 28.23
t ≈ 28 years
Answer:
There is a vertical asymptote for the rational function at x = −4. Set the denominator equal to 0 and solve for x.
2x + 8 = 0 → x = −4
Step-by-step explanation:
B
I know this right away because notice how it says “EACH month.” When it includes each you have to have an “x” beside the number to make it each month. If you don’t have an x it will just be “a single month.”
Sorry if that’s confusing I’m bad at explaining but have a nice day:))
The experimental probability is 9/20 or 45%. Hope this helps!