For this case we have:
Let p be the highest price of the TV that Meg can buy
We have to:
5% of p is given by:

So, we have:

Clearing p we have:


Thus, the highest price of the television that Meg purchases should be
dollars.
Answer:

(a)
since 13 is prime.
(b)
, and there are 81/3 = 27 multiples of 3 between 1 and 81, which leaves 81 - 27 = 54 numbers between 1 and 81 that are coprime to 81, so
.
(c)
; there are 50 multiples of 2, and 20 multiples of 5, between 1 and 100; 10 of these are counted twice (the multiples of 2*5=10), so a total of 50 + 20 - 10 = 60 distinct numbers not coprime to 100, leaving us with
.
(d)
; there are 51 multiples of 2, 34 multiples of 3, and 6 multiples of 17, between 1 and 102. Among these, we double-count 17 multiples of 2*3=6, 3 multiples of 2*17=34, and 2 multiples of 3*17=51; we also triple-count 1 number, 2*3*17=102. There are then 51 + 34 + 6 - (17 + 3 + 2) + 1 = 70 numbers between 1 and 102 that are not coprime to 102, and so
.
Selection C is the appropriate choice.
Essentially, what you are doing is taking each individual point and moving that point as specified.
So, for example, problem 1 has coordinates as follows: (be aware: I have terrible eyesight, so the points are being named based on what I think the letters are).
X: located at (2,0), move 1 unit left, new location: (1,0)
G: located at (4,0), move 1 unit left, new location: (3,0)
Q: located at (2,-2), move 1 unit left, new location: (1,-2)
C: located at (3,-4), move 1 unit left, new location: (2,-4)
Now, just plot the new shape.
Let me know if you need more help!
Answer:
45 meters
Step-by-step explanation:
graph the equation and find the y-intercept