Answer: a) c(x) = 0.124x + 1.1, b) 13 units
Step-by-step explanation: Revenue function = R(x) = 0.21x
Profit function = p(x) = 0.086 - 1.1
Cost function = c(x) =?
A)
Recall that profit = total revenue - total cost
Hence, total cost = total revenue - profit
c(x) = 0.21x - (0.086x - 1.1)
c(x) = 0.21x - 0.086x + 1.1
c(x) = 0.124x + 1.1
B)
Break even point is the point where total revenue equals total cost
R(x) = c(x)
0.21x = 0.124x + 1.1
0.21x - 0.124x = 1.1
0.086x = 1.1
x = 1.1/0.086
x = 12.79 which is approximately 13 units
Theoretical probability is based on the likelihood of events.
if a coin is flipped 20 times, and it has landed on heads 4 times, theres a 50% chance it would land on heads the 5th time.
it could be that heads gets more than tails or it could be vise versa.
The probability of getting two heads is 1 in 4.
To add fractions, first convert them to have equal denominators.
3/4= 9/12 (multiply both sides by 3)
2/3= 8/12 (multiply both sides by 4)
From here, add the numerators while keeping the denominator.
9/12+ 8/12= 17/12
Final answer: 17/12 or 1 5/12
Answer:
y = 42
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use an ordered pair from the table.
Using x = 2 when y = 12, then
12 = 2k ( divide both sides by 2 )
6 = k
y = 6x ← equation of variation
When x = 7, then
y = 6 × 7 = 42
A=p(1+r/100)^n
A=2500(1+4/400)^16
A=2931.45
