Annual sales (in millions of units) of a certain brand of tablet computers are expected to grow in accordance with the function f(t) = 0.18t2 + 0.16t + 2.64  (0 ≤ t ≤ 8) per year, where t is measured in years, with t = 0 corresponding to 1997. How many tablet computers will be sold over the 8 year period between the beginning of 1997 and the end of 2004?

|The amount A(t) of atmospheric pollutants in a certain mountain valley grows naturally and is tripling every 7.5 years. If it will be dangerous to stay in the valley when the amount of pollutants reaches 100 pu, how long will this take?

Use f(x) = 1145e0.0325x, the model described, to project the gray wolf population of the Western Great Lakes, rounded to the nearest whole number, in 2017.

In a certain culture, an initial population of 6000 bacteria grows to 9000 bacteria after 20 minutes. (a) Determine the function n(t)=n0ert that models the number of bacteria after t minutes. (b) How many bacteria are present after 2 hours?

At the beginning of the last decade, a total of 7.2 million passengers took a cruise vacation. The global cruising industry has been growing at approximately 7% per year. Assume that this growth rate continues. Suppose N = (t) gives the number of passengers, in millions, that take a cruise vacation at year t. Answer parts (a), (b), (c), and (d) of the question. Click VERIFY to move to the next part. (a) Report the following. Use the pull-down menu to indicate the units. A0) = Number Click for List (b) If (t) is written in the form a-b’, do you predict the value of b to be greater than 1 or less than 1? O b is greater than 1 O b is less than 1 (c) Complete the boxes below to write a formula which gives N as a function of t, where t is in years. Do not round any values. Since your formula gives N in millions of people, check that it passes through the initial value x = 0, N= 7.2, as opposed to passing through x = 0, y = 7,200,000. N= Number ( Number (d) How many millions of cruise…

A client’s orders are growing consistently at x% per year.     A) If three years from now orders are 50% higher than today, what is the annual growth rate (x)?     B) Write an expression (in terms of x) for how many years it will take until orders are double what they are currently