A girl’s name is “Olivia Summer” so her initials are OS. How many people need to be in an auditorium to ensure that at least 4 people in that room have the same pair of initials?

Lv beethoven software supplies customized software to a managed healthcare system. lv beethoven software's costs for the software is $1,723,000. lv beethoven software sells the software to the healthcare system for $3,816,981.10. overhead expenses are estimated at 47% of the selling price. what is lv beethoven software's net profit to the nearest dollar?

Given right triangle abc, what is the value of tan(a)?

Heather, sarah, nicky, and jill each have nine markers. how many markers do they have in all?