On the first day of a measles outbreak at a school, 6 students were identified to have the measles. each day for the following two weeks, the number of new cases doubled from those identified with the disease the day prior. how many students are identified to have measles in all at the end of the 6th day of the outbreak?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.