1.As a result of increasingly stiff laws aimed at reducing the number of alcohol-related traffic accidents in a certain state, preliminary data indicate that the number of such accidents has been changing at a rate of R(t) = -12 - te^(0.2t) accidents/month t months after the laws took effect. There were 1017 alcohol-related accidents for the year before the enactment of the laws. Determine how many alcohol-related accidents were expected during the first year the laws were in effect.
2.The price of a certain commodity in dollars per unit at time t (measured in weeks) is given by p = 8 + 7e^(-2t) + te^(-2t). What is the average price of the commodity over the 4-week period from t = 0 to t = 4?
3.Luckily, sales of your Star Wars and Piece T-shirts are now 54 T-shirts per week and increasing continuously at a rate of 5% per week. You are now charging $14 per T-shirt and are decreasing the price by 50A1 per week. How much revenue will you generate during the next six weeks? (Round your answer to the nearest cent.)