Suppose

At the same time, we can write

Note that
(just reverse the sum). Let's pair the first terms of
and
, and the second, and the third, and so on:

Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas

But
, as we pointed out, so

Answer:
4^9
Step-by-step explanation:
Answer:
$390+0.07s=$544+0.05s Subtract $390 from each side.
0.07s=$154+0.05s Subtract 0.05s from each side.
0.02s=$154 Divide each side by 0.02.
s=$7700 Both plans pay the same when sales=$7700
ANSWER With sales greater than $7700, Chris is better off with Plan A.
Ans
8 option b.
Step-by-step explanation:
3+4/2+3
=3+2+3
=5+3
=8
Answer:
The volume of the cylinder V = 942 cm³
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the graph
The height of the cylinder (h) = 12cm
The diameter of the cylinder d = 10cm
The radius of the cylinder
d = 2r
r = 
r = 5 cm
<u><em>Step(ii):-</em></u>
The Volume of the cylinder
V = π r² h
V = π (5)²(12)
V = 300π cubic centimeter
V = 300 × 3.14
V = 942 cm³
<u><em>Final answer:-</em></u>
Volume of the cylinder V = 942 cm³