Answer:
9/2
Step-by-step explanation:
(3, -20) & (11, 16)
To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(16 - (-20)) / (11 - 3)
Simplify the parentheses.
= (36) / (8)
Simplify the fraction.
36/8
= 9/2
9/2 is the most simplified fraction. This is your slope.
Hope this helps!
Rita received 24 phone calls on the first evening, and 19 phone calls on the second evening and 48 phone calls on the third evening at the call center.
Step-by-step explanation:
As per given details,
Rita received a total of 91 phone calls at the call center over the last three evenings.
Let us assume the number of phone calls Rita received in the first evening is X.
The second evening Rita received 5 fewer calls than the first evening
=>X-5
The third evening Rita received 2 times as any calls as the first evening
=>2X
Now as given sum of total number of calls received in the three evenings is
X + X-5 + 2X = 91
4X - 5 = 91
4X = 96
X =24.
Therefore total calls received on first evening is X = 24
On the second evening X-5 = 24-5 = 19
On the third evening 2X = 48.
Let x be the number of times they raise the price on the newspaper. Then the new cost of the newspaper is
Let y be the newspaper they sell, then the income will be
Now, we know that the circulation is of 500, assuming that they sold every newspaper at the original price now the number the will sell will be
Plugging the value of y in the first expression we have that the income will be
Then the income is given by the function
To find the maximum value of this functions (thus the maximum income) we need to take the derivative of the function,
no we equate the derivative to zero and solve for x.
This means that we have an extreme value of the function when x=9. Now we need to find out if this value is a maximum or a minimum. To do this we need to take the second derivative of the function, then
Since the second derivative is negative in the point x=9, we conclude that this value is a maximum of the function.
With this we conclude that the number of times that they should raise the price to maximize the income is 9. This means that they will raise the price of the newspaper (9)($0.05)=$0.45.
Therefore the price to maximize the income is $0.35+$0.45=$0.80.
Answer:
Option a.
I and III
Step-by-step explanation:
Observing the graph
For n=400 coats
The cost is about $2,200
and
The revenue is less than $1,400
Substitute the value of n=400 in each equation to find the solution
I Cost 1.5(400)+1,600=$2,200 ----> is ok
II Cost 4.5(400)+1,600=$3,400 ----> is not ok ( is greater than $2,200)
III Revenue 3.25(400)=$1,300 ----> is ok ( is less than $1,400)
IV Revenue 5.75(400)=$2,300 ----> is not ok ( is greater than $1,400)
therefore
The solution is I and III
