Problem 2 An online retailer advertises the following shipping and handling fees for every order:

Order Amount ($)

0 – 49.99

50 – 75.99

76+

Shipping and Handling ($)

3.95

11.95

5.95

The sales tax in Arizona on online orders is 5.6%. Use this information to answer the following questions.

**Assume that the shipping and handling is added after the sales tax is applied to the order.

Part a)

Using the information above, write an equation that represents the total cost as a function of the order amount in a customer’s “cart”. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)

Part b)

Genevieve, who lives in Prescott, has a cart total of $74.50. How much will her total cost be? (Remember: Show all your work for full credit)

Part c)

Rafael, who lives in Tucson, paid $89.20 for his items. How much was his cart total? (Remember: Show all work, and make sure you get all of the answers)

Xy x xy if a and b are positive integers such that a*b=9 and b*a=72 what is the value of a/b

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.

Find the volume of the solid bounded by the plane z=0 and the paraboloid z=1-x^2 –y^2