Ahotel has 270 units. all rooms are occupied when the hotel changes $90 per day for a room. for every increase of x dollars in the daily room rate, there are x rooms vacant. each occupied room costs $28 per day to service and maintain. what should the hotel charge per day in order to maximize daily profit?

What is the first step of an indirect proof of a number that is divisible by two

Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -0.04x^2 + 8.6x + 4.8, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? a. 0.56 m b. 215.56 m c. 431.11 m d. 215.74 m

The lengths of all sides of a triangle are integers when measured in decimeters. one of the sides has length of 1 dm and another of 3 dm. find the perimeter of the triangle.'