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>
Answer:
5 units
Step-by-step explanation:
The radius is the distance from the centre of the circle to a point on the circumference.
Use the distance formula to calculate the radius r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)
r = 
= 
= 
=
= 5
Answer:
The answer to your question is below
Step-by-step explanation:
From the picture we can infer that:
The side OP is proportional to NP, is half the length of NP.
The side QP is proportional to the side RP, is half the length of RP
The triangle OPQ is proportional to the triangle NPR because the have to proportional sides and the ∠P is the same for both.
Finally, if the triangles are proportional, the side OQ is proportional to the side NR. (is half the side of NR)