Answer:
This is the concept of financial mathematics;
Break even point is defined mathematically as:
Cost=Revenue
At this point the organization doesn't make any profits because the cost is equal to the revenue. Therefore , to solve our expression we proceed as follows;
The question requires us to find the number of units of products that must be sold in order to break even, to solve this we proceed as follows;
At break even;
C=R
but;
C=13x+80
R=18x
hence;
18x=13x+80
putting the like terms together we get:
18x-13x=80
5x=80
dividing both sides by 5 we get:
(5x)/5=80/5
x=16
Therefore the number of units that must be sold in order to break even is:
x=16 units
Step-by-step explanation:
Hope this helps! (:
9514 1404 393
Answer:
(a) 1, 2
(b) 4
Step-by-step explanation:
(a) 9x +81 = 9·x +9·9 = 9(x +9) . . . . . . matches first and second choices
__
(b) 10 +14y -5 -y = (14y -y) +(10 -5) = 13y +5 . . . . . . matches fourth choice only
To solve this you would have to do 32 times 3, since its 3 times the length
I not sure if you mean the gradient of the line or the equation, so here is both.
Gradient (=m) :
( 4, 4 ) ( 6, 5 )
( x1 , y1) ( x2, y2 )
m = y2-y1 / x2-x1
= -5-4 / 6 - 4
= -9 / 2 (as a fraction)
= -4.5 (as a decimal)
Equation of the line :
m = -9/2
( 4, 4 )
( a, b )
y - b =m (x - a)
y - 4= -9/2 (x - 4)
(Multiply both sides by 2 to get rid of fraction)
2y - 4 = -9 (x - 4)
2y - 4 = -9x + 36
2y = -9x + 36 + 4
2y = -9x + 40
2y + 9x = 40
Please feel free to ask if you have any questions
