Once activated, a population of self-replicating nano-bots is known to triple every four hours. Suppose that there are initially 50 nano-bots. (a) What is the size of the population after 12 hours? (b) Use an exponential function C(t) = C0e^rt to represent the population after t hours, and solve for C0 and r. (c) Estimate the size of the population after 33 hours. Your answer should be given in the most exact representation (i.e., not a decimal).

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…