QUESTION1 - 1 POINT The population ofa hornet nest experienced growth at a 20% monthly rate, compounded continuously. At the end of a 5 month period, the population reached a size of 815 hornets Assuming that every month has 30 days, how many hornets were in the nest at the beginning ofthe 5 months according to the exponential growth function? Round your answer to the nearest whole number, and do not include units. Provide your answer below: QUESTION 2 - 1 POINT A bank account is growing with continuous compounding at a fixed annual interest rate. The balance ofthe bank account doubles in 6 years' Which formula could be used to find the interest rate? Select the correct answer below: Oerl QUESTION 3 . 1 POINT Which type of model is most appropriate for the following data? y 2.63 2 5.85 3 7.74 4 8.92 5 10 6 10.95 7 11.49 8 12.09 Select the correct answer below: O Linear O Exponential O LogarithmicQUESTION 4 - 1 POINT A sample of bacteria is growing at an hourly rate of 5% according to the continuous exponential growth function. The sample began with 8 bacteria. How many bacteria will be in the sample after 16 hours? Round your answer down to the nearest whole number. Provide your answer below: |:| bacteria QUESTION 5 - 1 POINT A state park had a population of 330 rabbits. The population grew, with continuous compounding, at a rate of 15% per year for 12 years' How many rabbits were in the park after the 12 years? Round your answer down to the nearest whole number, and do not include units in your answer. Provide your answer below: QUESTION 6 - 1 POINT A patient takes a medication with a half life' Initially, there are 20 milligrams of the medication in the patient's system' After 8 hours there are 12 milligrams. How many milligrams will there be after 10 hours? Round your answer to the nearest hundredth, and do not include units' Provide your answer below: QUESTION 7 - 1 POINT A population of kangaroos is growing at a rate of2% per year, compounded continuously. If the growth rate continues, how many years will it take for the size ofthe population to reach 150% of its current size according to the exponential growth function? Round your answer up to the nearest whole number, and do not include units. Provide your answer below: QUESTION 8 - 1 POINT i En released by the earthquake in joules and E0 = 104'4 is the assigned minimal measure released by an earthquake. The magnitude, M, of an earthquake is represented by the equation M = %10g( ) where E is the amount of energy To the nearest tenth, what would be the magnitude of an earthquake releasing 2.1 - 1014 joules of energy? Provide your answer below: QUESTION 9 - 1 POINT A large object with an initial temperature of 150 degrees Fahrenheit is dropped into the ocean. The current temperature of the ocean water in the area is 77 degrees. The functionf(t) = Ce(_k') + 77 represents the situation, where t is time in minutes, C is a constant, and k is a constant. After 10 minutes the object has a temperature of 120 degrees. After how many minutes will the temperature of the object be equal to 80 degrees? Round your answer to the nearest whole number, and do not include units. Provide your answer below: QUESTION 10 . 1 POINT A substance with a half life is decaying exponentially. If there are initially 12 grams of the substance and after 2 hours there are 7 grams, how many grams will remain after 3 hours? Round your answer to the nearest hundredth, and do not include units. Provide your answer below:QUESTION 11 - 1 POINT A freezer has a temperature of 14 degrees Fahrenheit. An ice-cube tray full of water is placed in the freezer. The function f(t) = CeH\") + 14 represents the situation, where t is time in minutes, C is a constant, and k = 0.045. After 15 minutes the water has a temperature of 40 degrees. What was the initial temperature of the water? Round your answer to the nearest degree, and do not include units. Provide your answer below: QUESTION 12 . 1 POINT A sample of bacteria is decaying according to a half-life model. If the sample begins with 800 bacteria, and after 13 minutes there are 240 bacteria, after how many minutes will there be 25 bacteria remaining? When solving this problem, round the value of k to four decimal places and round your final answer to the nearest whole number. Provide your answer below: minutesQUESTION 13 . 1 POINT Which of the following correctly expresses the exponential model f(x) = 12(7)* with the base e? Select the correct answer below: Of(x) = 12eln(7)x Of (x) = Teln(12) x Of ( x ) = 712x Of (x) = 12ex Of (x) = 712 In(x) Of ( x) = 12e7 In(x)