Answer:
P(0) = 7,917
Step-by-step explanation:
The population of the community is given by the following formula:
In which P(0) is the initial population and r is the growth rate.
The initial population P0 has doubled in 5 years.
This means that
Which lets us find r.
Applying the 5th root to both sides
So
Suppose it is known that the population is 12,000 after 3 years.
With this, we find P(0)
Check the picture below.
now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.
now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.
thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.
Answer:
-√10,√11 , 3.30, 17/5
Step-by-step explanation:
-√10,√11 , 3.30, 17/5
17/5 is 3.4
the 10 is a negative so its the smallest
11 square root is a imiganery