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Answer:
Step-by-step explanation:
The populational growth is exponential with a factor of 1.12 each year. An exponential function has the following general equation:
Where 'a' is the initial population (25,000 people), 'b' is the growth factor (1.12 per year), 'x' is the time elapsed, in years, and 'y(x)' is the population after 'x' years.
Therefore, the function P(t) that models the population in Madison t years from now is:
Answer:
Step-by-step explanation:
We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180. So we find angle B:
180 - 82 - 55 = 43
So angle B = 43. Now we can use the Law of Sines to solve for side b:
Cross multiply to get
b sin(55) = 8 sin(43) and divide to solve for b:
so
b = 6.6605