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.
The ratio of the areas is the one-to-one measure squared. In order to find the ratio of their volumes, which is a cubed measure, we have to find the one-to-one and them cube it. The square root of 1/16 is 1/4. Now if we cube 1/4 to get the volume, it will be 1/64.
Answer:
The answer is the 3rd one, x is shifted left 6 units and up 2 units.
Step-by-step explanation:
-6 in graphs or coordinate planes, is moving to the left, or moving down. +2 in graphs or coordinate planes can mean moving up, or moving to the right. So the 3rd one is your answer.
Answer:
So we can express the radius in terms of the hours elapsed like this:
And the reason of this is because each hour the radius increase 6.5 inches, and if we replace in the formula of area we got:
And this function would represent the area of the circle as function of the hours elapsed, 
Step-by-step explanation:
For this case we know the radius of a circle given 
and we also know the incresing rate for the radius:
And we want to express the are of the circle A as a function of h = the number of hours elapsed.
We know that the area of a circle is given by:
So we can express the radius in terms of the hours elapsed like this:
And the reason of this is because each hour the radius increase 6.5 inches, and if we replace in the formula of area we got:
And this function would represent the area of the circle as function of the hours elapsed,
Answer:
62
Step-by-step explanation:
A triangle will always have all of its angles add up to 180. Add both 66 and 52 and then subtract that from 180. (180-(66+52))
