Where <em>x </em>is the number of books sold, <em>i </em>is income, and <em>c </em>is cost:
<em>c = 4x + 3500 </em> ($4 per book plus the 3500 flat marketing fee)
<em>i = 15x </em>($15 per book)
You are looking for the point where these intersect: the intersection is where the income is equal to the cost, and at any point after that the income is greater than the cost. So, set the equations equal to each other:
<em>4x + 3500 = 15x </em>
subtract 4x from both sides
<em>3500 = 11x</em>
divide both sides by 11
<em>x = 318.181818</em>
So, you would have to sell a minimum of 319 books in order to make a profit.
Answer: 21.78
Step-by-step explanation: Multiply 33 by .66. You will get 21.78.
Answser: first option <span>350(0.95)^x + 30x - 350
Explanation:
You can figure out the </span><span>function that shows the difference in price between option 1 and option 2 if you make a table simulating the behavior for a few months:
month price as per option 1 price as per option 2
start 350 350
1 350 - 5% (350) = 350 - 30
= 350 (0,95)
2 350 (0,95)×(0,95) =
350 (0,95)² 350 - 30(2)
3 350 (0,95)³ 350 - 30(3)
So now you can figure out the price with each option after x months:
350 (0.95)ˣ 350 - 30x
And the difference is 350 (0.95)ˣ - [350 - 30x]
Which, expanding the square brackets, is 350 (0.95)ˣ + 30x - 350 ↔ the first option.
</span>
The value of y is -8 if the x -24 and y varies directly with x, and If y = 4 when x = 12.
<h3>What is a proportional relationship?</h3>
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
The question is incomplete.
The complete question is:
If y varies directly with x, and If y = 4 when x = 12, how do you find y when x = -24?
y ∝ x (given)
y = kx
k is the constant of proportionality.
4 = 12k (y = 4, and x = 12)
k = 1/3
y = x/3
Plug x = -24
y = -24/3
y = -8
Thus, the value of y is -8 if the x -24 and y varies directly with x, and If y = 4 when x = 12.
Learn more about the proportional here:
brainly.com/question/14263719
#SPJ1
Answer:
The correct option is (b).
Step-by-step explanation:
The solution of the given polynomial is :
x = 1/3 and y = -4
i.e.
Sum of roots = (1/3-4) = -11/3
Product of roots = (1/3)(-4) = -4/3
The quadratic equation is as follows :
Put all the values,
So, the correct option is (b).
