Answer:
y = |3x|
Step-by-step explanation:
Answer:
If you have a quantity X of a substance, with a decay constant r, then the equation that tells you the amount of substance that you have, at a time t, is:
C(t) = X*e^(-r*t)
Now, we know that:
We have 2000g of substance A, and it has a decay constant of 0.03 (i assume that is in 1/year because the question asks in years)
And we have 3000 grams of substance B, with a decay constant of 0.05.
Then the equations for both of them will be:
Ca = 2000g*e^(-0.03*t)
Cb = 3000g*e^(-0.05*t)
Where t is in years.
We want to find the value of t such that Ca = Cb.
So we need to solve:
2000g*e^(-0.03*t) = 3000g*e^(-0.05*t)
e^(-0.03*t) = (3/2)e^(-0.05*t)
e^(-0.03*t)/e^(-0.05*t) = 3/2
e^(t*(0.05 - 0.03)) = 3/2
e^(t*0.02) = 3/2
Now we can apply Ln(x) to both sides, and get:
Ln(e^(t*0.02)) = Ln(3/2)
t*0.02 = Ln(3/2)
t = Ln(3/2)/0.02 = 20.3
Then after 20.3 years, both substances will have the same mass.
A) Business means the process of earning money, so she earned $350 at first time, so her initial value would be: $350
Rate of change = 750 - 350 / 350 * 100
= 400 / 350 * 100
= 40000 / 350
= 114.28
Now, There are 4 years between 2014 & 2010 so it will be:
= 114.28 / 4 = 28.57
In short, Your Answer would be 28.57% per year
B) Equation would be: Y = x + 0.2857x
Where, x = number of year
Hope this helps!
I believe the answer should be 4 and 2
Answer:
_64,
3.5
6.666....
127
i think there was no ans above
