You purchase a $220 airline ticket. you have a discount code to recieve 10% off. there is 10.5% service charge added to the total. how much do you pay for your ticket?

We will pay $218.79 for the ticket.

Step-by-step explanation:

Basic price of an airline ticket is $220 and we have given a discount code of 10%, so cost of the ticket for us will be

= Basic price - 10% of the ticket price

Basic price of the ticket = 220 - 10% of 220 = 220 - 22 = $198

Since we have to pay the service charge on the basic price of the ticket therefore cost price of the ticket for us will be

Cost price = 198 + 10.5% of 198 = 198 + 20.79 = $218.79

Therefore we have to pay $218.79 for the ticket.

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation: