Question 5 (essay worth 5 points) emerson purchased a game that was on sale for 18% off. the sales tax in his county is 8%. let y represent the original price of the game. write an expression that can be used to determine the final cost of the game.

0.9y

Step-by-step explanation:

The original price of the game is y.

cost off ⇒ 18% of y = 18/100 × y = 0.18y

Added cost ⇒ 8% of y = 8/100 × y = 0.08y

Final cost of the game = y - 0.18y + 0.08y

                                     = 1.08y - 0.18y

                                     = 0.9y

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this