The model. A consumer can decide a quantity of marijuana to consume, xx. Marijuana has a price of pp. Moreover, using more marijuana increases the likelihood of being stopped by the police, which happens with probability . Utility is quasilinear in money yy spent on all other goods, and equals uu(xx, yy) = 100 log xx − PPxxAA + yy, where AA measures how harsh the consequences of an arrest are. (Note: log stands for the natural log). a) Find the optimal level of marijuana consumption. b) What is the effect of increasing the likelihood of arrest PP

Which of the expressions (on the photo document i inserted) together represent all solutions to the following equation? 8cos(12x)+4=-4 *the answer should be in degrees.* > i would like for someone to explain the process to find the solutions for this.

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums. what is the probability that the applicant who gets the job plays drums or guitar?