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
Answer:
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Step-by-step explanation:
2πr
2x 3.14 x 8.1 = 50.22in
1.6+x-3.2=-2+5.6
simplify
-1.6+x=3.6
+1.6 both sides
x=5.2
43.9 + n = 49.65
43.9-43.9 + n = 49.65 -43.9
n = 5.75