Blue Water Resorts offers a vacation package starting at $1400 for a 5 night stay. Each additional night adds $224 to the package price. Sea Breeze Resort offers a similar package, starting at $1050 for a 5 night stay.

This vacation is available up to 14 nights, with each additional night past the fifth bringing a 16% increase in

the price. For what length of vacation does each resort cost about the same?

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?

The price of an item has been reduced by 30%. the original price was $30. what is the price of the item now ?