Q:

solve showing work for absolute valuesolve problem show workSteven just receiveda 3% raise. His new salary is $55,620.What was his old salary?Appliance store hwere ramios shops offers a 9% discount forpaying cah. If the price of a new frige without a discout is $978,find the discount and the new price.A 6 ft board is cut into 2 peices so that one peice is 2 feetlonger than 3 times the shorter peice. Ifthe shorter peice is xfett long, find the lengths of both peices.

Accepted Solution

A:
Answer:$54,000Amount of discount = $88.02The new price = $978 - $88.02 = $889.98Length of  shorter piece is 1 ft and longer piece is 5 ft Step-by-step explanation:Given:Raise received = 3%New salary = $55,620Now, New salary = old salary + 3% of old salary or$55,620 = old salary  + (0.03 × old salary) or$55,620 = Old salary × (1.03)or Old salary = $54,000 Given:Price of the new fridge = $978Discount offered = 9%Thus, Amount of discount = 9% of $978orAmount of discount = 0.09 × $978orAmount of discount = $88.02And, the new price = Price of the fridge - Amount of discount orThe new price = $978 - $88.02 = $889.98Given:Length of the of the board before cutting = 6 ftNow, According to the questionlet the length of the shorter piece be 'x'thus, 6 = x + (3x + 2)or6 = 4x + 2or4 = 4xorx = 1 fthence, shorter piece is 1 ft long and longer piece is  (3x +2 = 5ft)