<span>If the common ratio is greater than 1 (which it is in this case), then the series will be divergent. The infinite series will simply keep growing and growing, making it impossible to find the "upper limit." Thus, the correct answer is b.</span>
Answer:
Haircuts cost $50.33
Hair Color costs $80.33
Step-by-step explanation:
Let haircut be cost "a"
coloring be cost "b"
2 haircut, 4 coloring equals 422, we can write:
2a + 4b = 422 {Equation 1}
5 haircut, 4 coloring, equals 573, we can write:
5a + 4b = 573 {Equation 2}
We now multiply equation 1 with -1 and add it with Equation 2 to get:
-1(2a + 4b = 422) = -2a - 4b = -422
Now,
-2a - 4b = -422
5a + 4b = 573
----------------------
3a = 151
a = 151/3 = $50.33
Now, to find b, we plug in this value into any equation and solve for b:
2a + 4b = 422
2(50.33) + 4b = 422
4b = 422 - 100.66
b = $80.33
Haircuts cost $50.33
Hair Color costs $80.33
Answer:
42 units squared
Step-by-step explanation:
break it up into smaller shapes. if you split the big shape at y = 2 and at y=-2, you'll get two triangles and one rectangle.
so the area of the rectangle = l x w
= 4 x 7
= 28
the area of the triangle is ( l x w )/2
= (7 x 2)/2
= 7
the other triangle is the same too
so the area of that is also 7.
now add all areas,
7+7+28 = 42
Answer:
(a) The distance from -14 to 0 on a number line. The answer is 14.
Step-by-step explanation:
If you put "-14" in the problem statement in place of the word "number," you will find it substantially matches the wording of answer choice A. |-14| means ...
The distance from -14 to 0 on a number line. The answer is 14.
Answer:
A) 12/37
B) 12/46
C) 25/54
D) 29/100
Step-by-step explanation:
Let event A = small-business owner selected economy,
event B = small-business owner selected finding qualified workers,
Thus, probabilities;
P(A)=46/100
P(B)=37/100
P(A∩B)=12/100
A) P(A ∩ B)/P(B) = (12/100)/(37/100) = 12/37
B) P(A∩B)/P(A) = (12/100)/(46/100)= 12/46
C) P(B∩A')= P(B) − P(A∩B) =
37/100 - 12/100 =25/100
P(B∩A')/P(A') =
(25/100)/(1-46/100) = 25/54
D) Using inclusion-exclusion principle;
P(A∪B) = P(A)+P(B)−P(A∩B)=
46/100 + 37/100 - 12/100 = 71/100
Hence, the probability that the owner believes neither that the economy is a challenge for growth nor that finding qualified workers is a challenge for growth is;
P( A' ∩ B') = 1 − P(A∪B)= 1− (71/100)= 29/100
