Answer:
the cost of making each paperweight = $0.81
Step-by-step explanation:
First let us calculate the selling price for each paperweight as follows:
total amount gotten = $230.85
number of paperweights = 95
∴ 95 paperweights = $230.85
∴ 1 paperweight = 230.85 ÷ 95 = $2.43
selling price of 1 paperweight = $2.43
Next, let the cost of making 1 paperweight be 'x'
selling price of paperweight = cost of making + profit gotten
The cost of making the paper weight (x) plus the profit made on the paper weight (2x) equals the selling price of each paper weight.
x + 2x = 2.43 (the profit the club makes is two times as much as the cost to make each paperweight)
∴ 3x = 2.43
x = 2.43 ÷ 3 = 0.81
Therefore, the cost of making each paperweight = $0.81
Answer:
You just divide the numbers to get the hourly pay.
98÷5÷2
$9.80/hr
Answer:
a) -8/9
b) The series is a convergent series
c) 1/17
Step-by-step explanation:
The series a+ar+ar²+ar³⋯ =∑ar^(n−1) is called a geometric series, and r is called the common ratio.
If −1<r<1, the geometric series is convergent and its sum is expressed as ∑ar^(n−1) = a/1-r
a is the first tern of the series.
a) Rewriting the series ∑(-8)^(n−1)/9^n given in the form ∑ar^(n−1) we have;
∑(-8)^(n−1)/9^n
= ∑(-8)^(n−1)/9•(9)^n-1
= ∑1/9 • (-8/9)^(n−1)
From the series gotten, it can be seen in comparison that a = 1/9 and r = -8/9
The common ratio r = -8/9
b) Remember that for the series to be convergent, -1<r<1 i.e r must be less than 1 and since our common ratio which is -8/9 is less than 1, this implies that the series is convergent.
c) Since the sun of the series tends to infinity, we will use the formula for finding the sum to infinity of a geometric series.
S∞ = a/1-r
Given a = 1/9 and r = -8/9
S∞ = (1/9)/1-(-8/9)
S∞ = (1/9)/1+8/9
S∞ = (1/9)/17/9
S∞ = 1/9×9/17
S∞ = 1/17
The sum of the geometric series is 1/17
If 8x+6=4x+38
8x-4x=38-6
4x=32
x=32/4=8
Angle of A is equal to angle of B (mirrored)
Then angle of B is 4x+38 = 4*8+38 = 32+38=70
Whole formula 2*pi*radius^2 + 2*pi*radius*height:
157+942= 1099
SA= 1099
