Answer:
Proved
Step-by-step explanation:
To prove that every point in the open interval (0,1) is an interior point of S
This we can prove by contradiction method.
Let, if possible c be a point in the interval which is not an interior point.
Then c has a neighbourhood which contains atleast one point not in (0,1)
Let d be the point which is in neighbourhood of c but not in S(0,1)
Then the points between c and d would be either in (0,1) or not in (0,1)
If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.
Then we find that dn is a boundary point of S
But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.
Every point of S=(0, 1) is an interior point of S.
Answer:
0
Step-by-step explanation:
The slope is the change in y divided by the corresponding change in x:
∆y/∆x = (54.99 -54.99)/(7 -6) = 0/1 = 0
The slope of the line is zero.
Answer:
<em>Donna will have to pay $67.985125 at the register, including the 7% sales tax.</em>
Step-by-step explanation:
Donna bought 3 pairs of pants for $28.50 each.
So, the cost for 3 pair of pants 
dollars.
She also bought a necklace for $12.25
Thus, the cost for her entire purchase will be: 
dollars.
She received a discount of 35% off her entire purchase. So, the amount of discount 
dollars.
Thus, the total selling price will be: 
dollars.
Percentage of sales tax is 7%. So, the amount of sales tax 
dollars.
Thus, the total amount Donna have to pay at the register 
dollars.
