We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
Step-by-step explanation:
So the Ap will be x,x+10,x+20,x+30
Sum of the angles of a quadrilateral is 360
x+x+10+x+20+x+30=360
4x+60=360
4x=300
x=75
So the angles are 75,85,95,105
Answer:
A. 1/3x + 1/2y <= 4
2x + y <= 12
x >= 0
y >= 0
Step-by-step explanation:
Answer:
The answer to this question is 4.