Sum of n terms of a geometric series is
Sn = a1 (r^n-1)/(r-1)
a1 = 1st term = 4
r = common ratio = 12/4 = 3
so, the sum is
Sn = 4 (3^n-1)/(3-1) = 2(3^n-1)
Answer:
Attachment is correct graph.
Step-by-step explanation:
We are given a equation of line y=|x|
It is absolute function which gives always positive value.
It's vertex at (0,0). This function will break at (0,0)
It is linear equality.
So, function is break at point x=0
Now we make tale of x and y
x y
-3 3
-2 2
-1 1
0 0
1 1
2 2
3 3
Now we plot the point on graph and join the points to get graph.
Please see the attachment for correct graph.
Check the Wronskian determinant:
The determinant is not zero, so the solutions are indeed linearly independent.
So he needs to sell $2,000 in merchandise.
<h3>what is the total value of merchandise he needs to sell?</h3>
We can assume that we have a proportional relation:
y = k*x
Where y is the commission and x is what Norman sells, then:
$15 = k*$200
k = $200/$15 = 0.075
$37.50 = k*$500
k = $500/$37.50 = 0.075
Then the relation is:
y = 0.075*x
If he wants a commission of $150, then:
$150 = 0.075*x
$150/0.075 = x = $2,000
So he needs to sell $2,000 in merchandise.
If you want to learn more about proportional relationships:
brainly.com/question/12242745
#SPJ1
Answer:
The greatest common factor of 23 and 50 is 1
Step-by-step explanation:
