22pts
n(t) = 25t + 150 for 0< =t< 6, (200 + 80t)/(2 + 0.05t) for t> =8 the number of fish in a pond at time t years is modeled by the function n defined above, where f is a continuous function such that f(0)=80.
a) find limt→∞n(t). explain the meaning of limt→∞n(t) in the context of the problem.

Marla bought a book for $12.95, a binder for $3.49, and a backpack for $44.99. the sales tax rate is 6%. find the amount of tax and the total she paid for these items

A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.

The areas of two similar triangles are 72dm2 and 50dm2. the sum of their perimeters is 226dm. what is the perimeter of each of these triangles?