Answer:
Step-by-step explanation:



If Mary spent half of her allowance the equation will begin with 1/2x or 0.5x where x is her allowance and 0.5 is half of her allowance spent. Mary also earned 7 dollars by washing the car so this will be added to her allowance spent.
The problem says that after Mary has spent half of her allowance at the movies she was left with 18 dollars so that means that the equation must be equal to 18.
The equation you want to set up is
0.5x+7=18
Where, 18-7=11
0.5x=11
11/.5 = x
x = $22
Thus, Mary has a weekly allowance of 22 dollars.
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

where k is a constant.
Given that <span>the total cost of a $32 item is $33.60, thus

Therefore, the total cost on a $55 item is given by

</span>
Paul's rate before the pay rise = 7.0
The increase = 4/100 * 7.0 = 0.28
Paul's rate after the pay rise = 7.0 + .28 = 7.28