Astore offers a 15% discount on all items in the store during a sale. all store employees get an additional 10% employee discount. in the equation below,
c represents the cost of an item for an employee including tax and x represents the original price of the item:

c = 0.765x + 0.06(0.765x)

chris is an employee at the store. he plans to buy a coat during the sale. the price of the coat before the discount is $100. how much will chris pay for the coat during the sale?

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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