Exponential decay is given by the equation
F = P(1 - r)^t
0.5 = 1(1 - 0.092)^t
0.5 = (0.908)^t
log 0.5 = log (0.908)^t
log 0.5 = t * log 0.908
t = (log 0.5)/(log 0.908)
t = 7.18
Answer: 7.2 years
Step-by-step explanation:
arctan(x) is less than π/2 for x > 0. Therefore, if we say g(x) = 13 (π/2) / eˣ, then f(x) < g(x) for all values of x > 0.
g(x) = 13 (π/2) / eˣ
g(x) = 13π/2 · (1/e)ˣ
So g(x) is a geometric series where r = 1/e. Since |r| < 1, the series converges.
Since g(x) converges, the smaller f(x) also converges.
I believe the answer is Y=-5/6x +3
its A
Step-by-step explanation:
Answer:
y = 6/5
Step-by-step explanation:
3x - 5y = -3
Let x =1
3(1) - 5y = -3
3-5y = -3
Subtract 3 from each side
3-3-5y = -3-3
-5y = -6
Divide each side by -5
-5y/-5 = -6/-5
y = 6/5
