Worth 30 points
nataliia wants to buy a new tablet from a store having a 45% off sale on all tablets. the tablet she wants has an original cost of $180. she also wants to make sure she has enough money to pay the 5% sales tax. a) how much will nataliia pay for the tablet? b) nataliia used the incorrect expression 0.95(180)(0.55) to calculate that the tablet will cost her $94.05. describe her error and write the correct expression.

 =103.95

Final price = 180 *.55 * (1.05)

Step-by-step explanation:

Discount is equal to original price times discount rate

Discount = 180 *45%

               = 180 *.45

                =81

New price = original price - discount

New price  =  180 - 81

                   = 99

Tax = new price * tax rate

       = 99 * 5%

       =4.95

Final price = new price + tax

                 = 99 + 4.95

                  =103.95

45% off means she still needs to pay (100-45) or 55 percent of the price so

New price = 180 *.55

Tax means adding the 5 % to the price  That is 1.05 percent of the price

She multiplied by .95  so she subtracted the tax instead of adding

Final price = 180 *.55 * (1.05)