People arrive at a college admissions office at rate 1 per minute.
when k people have arrive a tour starts. student tour guides are paid $20 for each tour they conduct.
the college estimates that it loses 10 cents in good will for each minute a person waits.

what is the optimal tour group size?

Choosing a booth location: your manager is sending two people to work at the conference. she wants a booth that will give your company good visibility for no more than 35% of the total budget ($3000). the conference coordinator just told you there are only five booths left. which booth will you choose? write the inequality that shows how much money you can spend on the booth simplify the inequality that shows how much money you can spend on the booth.

Aball is dropped from a height of 10m above the ground. it bounce to 90% of its previous height on each bounce. what is the approximate height that the ball bounce to the fourth bounce?

What are the domain and range of f(x)= -log5(x+2)