MODELING REAL LIFE You deposit $2100 in an account that earns 5.2% annual interest compounded continuously. a. Find the balance of your account after 10 years and after 15 years. 10 years: $ 15 years: $ b. Your friend deposits $2550 in an account that earns simple interest at an annual rate of 4.8%. The account with a greater balance after 10 years is and after 15 years

Every year my place of work has a huge holiday party. Every year there is a survey sent out to see how many people want to attend the party so that there is a big enough venue booked. I wanted to know if the number of people wanting to attend the annual holiday party changed this year because of COVID. In 2019, of the 406 people surveyed, 310 said that they wanted to attend. In 2020, of the 406 people surveyed, 156 said that they wanted to attend. Conduct a test at the a=0.05 level of significance. H0: p1=p2 H1: p1≠p2

evaluate C(11,5)

A researcher is interested in the affects that a person’s avatar (i.e. visual representation of oneself) has on the number of profile views on Facebook.com.  The average number of individual personal profile views is known to be 230 views per day (excluding bands, artists, etc.).  The researcher creates 36 fictitious profiles that contain roughly the same information but the picture (avatar) is an animated .gif of a smiling face (36 faces randomly selected from a compilation of faces judged to be of average attractiveness).  The results showed that of the 36 profiles the average number of views was 250 with a standard deviation of 60.  Test the hypothesis that the average number of views for a smiling face gif is significantly different than the usual number of personal profile views.