Answer:
Step-by-step explanation:
C(x) = 15x + 25,500....cost function
R(x) = 32x .....revenue function
break even point (when they are equal)....so set them equal and solve for x
15x + 25,500 = 32x
25,500 = 32x - 15x
25,500 = 17x
25,500 / 17 = x
1500 = x.......so the break even point is when 1500 benches are sold
15x + 25,500 = 32x =
15(1500) + 25,500 32(1500) =
22,500 + 25,500 48,000
48,000
and after selling 1500 benches, they will both equal $48,000
The factorial ! just means we multiply by every natural number less that the value so
6! =6×5×4×3×2×1= 720
for permutations we use the formula n!/(n-r)!
so we have 8!/(8-5)!=8!/3!=8×7×6×5×4
for combinations s we have n!/(n-r)!r!
so we have 12!/(12-4)!4!=12!/8!4!=12×11×10×9/4×3×2=11×10×9/2=99×5
Answer:
8 + 
Step-by-step explanation:
I'm assuming you want an answer to the top section of the question.
We can start with 8.
8
When a problem asks for the sum, it's looking for addition, so we use the + sign.
8 +
The problem says "a number," so let's represent that with x. Basically, x just means a number we don't know.
8 + x
The "number" is divided by 4, so we'll just put x/4 as our second term.
8 +
Answer:
Therefore, the budget is 656.76$.
Step-by-step explanation:
We know that a lab orders a shipment of 100 rats a week for experiments that the lab conducts. Suppose the mean cost of the rats turned out to be $ 12.63 per week. We calculate budget of a lab for the next year's.
We know that 1 year have 52 weeks. We get
52 · 12.63 = 656.76
Therefore, the budget is 656.76$.
