Question 3 0/1 pt 9 3 @ Details The fox population in a certain region has a continuous growth rate of 8 percent per year. It is estimated that the population in the year 2000 was 16500. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer) Check Answer Question 4 0/1 pt 3 0 Details The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced to a mass of 1 mg. What was the initial mass (in mg) of the sample? What is the mass 8 weeks after the start?Question 1 0/1 pt 9 3 0 Details The count in a bacteria culture was 700 after 10 minutes and 1300 after 35 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Find the doubling period. Find the population after 115 minutes. When will the population reach 13000. You may enter the exact value or round to 2 decimal places. Check Answer Question 2 0/1 pt 5 3 Details If 5000 dollars is invested in a bank account at an interest rate of 6 per cent per year, compounded continuously. How many years will it take for your balance to reach 20000 dollars? NOTE: Give your answer to the nearest tenth of a year