A. Sigma notation
The formula for finding the nth value of the geometric series
is given as:
an = a1 * r^n
Where,
an = nth value of the series
<span>a1 = 1st value in the geometric series = 940</span>
r = common ratio = 1/5
n = nth order
The sigma notation for the sum of this infinite geometric
series is therefore,
(see attached photo)
B. Sum of the infinite geometric series
The formula for calculating the sum of an infinite
geometric series is given as:
<span>S = a1 / (1 – r)</span>
Substituting the given values:
S = 940 / (1 – 1/5)
<span>S = 1,175</span>
Answer:
See Explanation
Step-by-step explanation:
The question has missing details; as the radius or an attachment of the hemisphere is not given.
However, I'll solve on a general terms.
The volume of a hemisphere is: 
Take for instance
The volume becomes:
<em>So, all you need to do is plug in the value of radius in the formula.</em>
Answer:
(C)51.4 degrees
Step-by-step explanation:
The sum of the exterior angle of a polygon is 360 degrees. (one complete revolution).
Given a regular polygon, the sum of each exterior angle is calculated using the formula:
where n is the number of sides.
The regular polygon shown made by the ant has 7 sides.
Therefore:
Each exterior angle 
Therefore:
The value of A correct to 1 decimal place is 51.4 degrees.
The correct option is C.
$45 x .15 = $6.75 discount
$45 - $6.75= $38.25
Sales tax 6%
$38.25 x 0.6 =$ 2.29
$38.25 + $2.29 = 40.54$
Jeans total is 40.54$
