If the company makes 1 canoe only, then the cost is, the fixed cost plus how much it costs for the 1 canoe, or
180,000 + 1*120
if it makes 2 canoes
180,000 + 2*120
3 canoes 180,000 + 3*120
4canoes 180,000 + 4*120
x canoes 180,000 + x*120
so... we dunno what "x" is, but whatever "x" maybe, the cost ends up as 180,000 + x*120, or 180,000 + 120x
now, let's see the revenue
1 canoe 1 * 240
2 canoes 2*240
3 canoes 3*240
x canoes x*240
so.. whatever "x" maybe, the Revenue is x*240 or 240x
break-even point is when, the amount of expenses and earnings cancel each other out, or, there's no profit, but there's no loss either, same amount that's spent is also earned back
so, the break-even point occurs when Revenue = Cost
180,000 + 120x = 240x <--- solve for "x"
Answer: The constant of proportionality is r = 5.
Step-by-step explanation:
O, we know that x and y are proportional, this means that:
y = r*x
where r is the constant of proportionality.
we also have the table
x y
7 35
12 60
20 100
Now, we can replace those values in our equation and get, for the first pair:
35 = r*7
r = 35/7 = 5
for the second pair:
60 = r*12
60/12 = 5 = r
So we can conclude that the constant of proportionality is 5.
Answer:
Number of ways to chose bracelet = 2 ways
Step-by-step explanation:
Given:
Total number of bracelet = 3
Y is chosen first
Find:
Number of ways to chose bracelet
Computation:
Y is chosen first so remain number of bracelet is 2
So,
Number of ways to chose bracelet = !2
Number of ways to chose bracelet = 2 × 1
Number of ways to chose bracelet = 2 ways
Answer: 
Step-by-step explanation:
Given: A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror.
The pipe is located 8 inches from the vertex of the mirror.
Assume the vertex is at the origin.
If the parabola opens upwards
then the coordinates of focus= (0,8)
We know that equation of parabola with focus (0,a) and open upards is of the form (vertex=(0,0)) is
Substitute the value of a=8 in equation, we get
Therefore, equation of the parabola that models the cross section of the mirror is
Answer:
5 StartRoot 10 EndRoot
Step-by-step explanation:
we know that
The legs of a 45°-45°-90° triangle are congruent
Let
x ----> the length of one leg of the triangle
Applying the Pythagorean Theorem
where
c is the hypotenuse
a and b are the legs
we have
substitute
Simplify
5 StartRoot 10 EndRoot
