The owner of an apartment building has 100 apartments. He has found that if he charges $500 per month he can rent all 100 of them but he rents one fewer apartment for each $25 increase in monthly rent. a. Write an equation that gives the monthly revenue from the rental of the apartments if he makes x increases of $25 in the rent. b. Find the rent he should charge to maximize the monthly revenue and the number of apartments he will rent by charging this amount. c. Suppose the landlord pays for water, sewer, and electricity at his apartments for a cost of $50 per apartment per month. Write an equation that gives the monthly cost to the landlord after x price increases of $25. d. Write an equation that gives the monthly profit the landlord makes, and the rent he should charge to maximize his monthly profit, and the number of apartments he will rent by charging this amount. e. Explain why you know mathematically your solutions to (2) and (4) are maximum values. f. In a sentence or two explain why the solutions to (2) and (4) are different (i.e., the point where maximum revenue is achieved is different from the point where maximum profit is achieved)

You decide to purchase a brand new boat for $20,000. You sell it 7 years later for its worth of $7500. Assuming the boat's value depreciates linearly, how much was it worth 4.5 years after you bought it? It is worth S (Round answer to nearest dollar.)

Lillian is deciding between two parking garages. Garage A charges an initial fee of $4 to park plus $3 per hour. Garage B charges an initial fee of $9 to park plus $2 per hour. Let A represent the amount Garage A would charge if Lillian parks for t hours, and let B represent the amount Garage B would charge if Lillian parks for t hours. Write an equation for each situation, in terms of t, and determine the hours parked, t, that would make the cost of each garage the same. A = B = %3D Answer: Submit Answer acer

A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $8 the average attendance has been 26000. When the price dropped to $7, the average attendance rose to 29000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? $