Jessica spent 2/5 of her money going to the movies. Then she babysat her brother and earned fifteen more dollars. If she ended up with thirty dollars, how much money did she start with

Lisa berry plans to rent an apartment for $1,090 per month. she estimates the annual expense will be as shown on the chart below. what is her average monthly cost?

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.