(8 points) A group of a certain type of animal was introduced into a reserve. The number N of the animal present at time t (measured in years since the group was introduced) in the reserve has been determined to be given by the function below. (Round your answers to the nearest whole number.) N=12.45/(0.06+〖0.56〗^t ) How many of this type of animal were initially on the reserve? animals Calculate N(7).
N(7)= animals
c. Write a sentence explaining the meaning of the number you found in terms of animals on the reserve.

How many natural numbers n satisfy the inequality: 1/7 < n/10 < 4/5 ?

The height of a plant, in inches, p years after planting it is given by the polynomial function r(p) = -2p% + 270p. find the height of the plant when p = 90 years.

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0