Rashid wants to buy a guitar. The guitar he wants costs $1240. He can't pay this in a lump sum, but he can pay by monthly installments. He agrees to pay a deposit of 5% of the cost price and then 12 monthly installments of $110 every month. Work out how much Rashid will pay for the guitar when he pays by monthly installments.

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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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