Answer:
Inequality Form: x > 17
Interval Notation: (17, ∞)
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
Given:
AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.
To find:
The 
and 
.
Solution:
AD is diameter of the circle. So, the measure of arc AD is 180 degrees.
The measure inscribed angle is half of the corresponding subtended arc.
AB is the tangent. So, 
because radius is perpendicular on the tangent and the point of tangency.
Therefore, 
and .
