Spot builds dog houses. He needs 10 wooden boards and 15 nails to build a small dog house; and he uses 15 wooden boards and 45 nails for a large dog house. Spot makes $40 profit on every small dog house and $52 profit on every large dog house. If he has 60 wooden boards an 135 nails, how many LARGE dog houses should he make to maximize his profit?

Atruck can be rented from company a $50 a day plus $0.60 per mile. company b charges $20 a day plus $0.80 per mile to rent the same truck. find the number of miles in a day at which the rental costs for company a and company b are the same

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?

The hockey team has been great! in 2008, they won 20% more games than in 2007 in 2009 they won 50% more games than in 2008 what was their overall percentage increase from 2007 through2008?