Axxel Car Rentals has two basic plans. One is to rent a car for $19 per day and then pay .20 per mile. The second plan is to rent a car for $49 for the first day, and then pay $29 for each subsequent day with unlimited mileage. Figaro is going to rent a car, and he knows that he is going to drive it 500 miles. However, he does not know how long it will take him to travel the 500 miles because of the work he has to do on his trip. (He might need if for two days, but he could need it for much longer than that.) At what number of days do the two plans have the same cost? ​

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?