Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD. y − 0.15y 0.05(0.85y) y − 0.85y + 0.05y 1.05(0.85y) Question 3(Multiple Choice Worth 5 points) (06.09A) Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25. 6.9x − 16 6.9x + 16 0.1x − 16 0.1x + 16 Question 4(Multiple Choice Worth 5 points) (06.09A) Which expression is equivalent to one over fivem − 20? one over five(m − 4) one over five(m − 100) 5(m − 4) 5(m − 100) You must check the box below prior to submitting your exam! Check this box to indicate you are ready to submit your exam Explorer Toolbox Workload My Folders Current course: FDK411.04 Previous QuestionNext Question

Q1) Final cost = y*0.85*1.05  

Q2) Perimeter = 0.1*x - 16

Q3) One over five ( m - 100)

Step-by-step explanation:

We are given three question as follows:

Q1) Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.

Solution:

Note: The effect of each percentage on original price is as follows, where y is the original price of the DVD:

                        Discount of 15 % = Price reduced by 0.15*y

                        Sales Tax of 5% = Price increased by 0.05*y

- The resulting prices from each percentage is:

                        Amount left after discount = y - 0.15*y = 0.85*y

                        Amount after tax = y + 0.05*y = 1.05*y

- The factors of each affect are:

                        Factor of discount = 0.85

                        Factor of Tax          = 1.05

Hence, The factors are multiplied by the original cost to get the combined effect as follows:

           Final cost = y*0.85*1.05                

Q2) Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 0.5*x + 9, 3x, and - 3.4*x - 25.

Solution:

               The perimeter of the triangle is the sum of all 3 sides given:

                        Perimeter = (0.5*x + 9) + (3x) + ( -3.4*x - 25 )

                        Perimeter = (0.5*x + 3x - 3.4x) + ( 9 - 25 )

          Perimeter = 0.1*x - 16

Q3) Which expression is equivalent to one over five*m − 20?

Solution:

- Re-write expression:

                                                   (1 / 5)*m - 20

Take LCM of the denominator:

                                                  (m - 100) / 5

                            One over five ( m - 100)

0.05(0.85y)

Step-by-step explanation:

This is for the first question.