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:
Choice D). 
is correct.
Step-by-step explanation:
Given function graph is sinusoidal so let's compare with formula 
We know that amplitude is the height from the center line to the peak (or to the trough). From graph we can see that height from the center line to the peak is 20
So amplitude A=20
In that formula, period is given by 
From graph we see that period is 
So both must be equal
cross multiplying them gives
B=4
Clearly there is no shift so C and D are 0
Now plug these values into formula
Hence choice D is correct.
Answer:
0.006% probability that the final vote count is unanimous.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Random voting:
So 50% of voting yes, 50% no, so 
15 members:
This means that 
What is the probability that the final vote count is unanimous?
Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So
In which
So
0.006% probability that the final vote count is unanimous.
Answer:
£170000
Step-by-step explanation:
In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x. In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x
The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x
Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.
⇒ 1.14x = 193800
x = 193800/1.14
x = £170000
Rafik paid £170000 for the house in 2010
Answer:
The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.
Step-by-step explanation:
According to DeMorgan's Theorem:
(W.X + Y.Z)'
(W.X)' . (Y.Z)'
(W'+X') . (Y' + Z')
Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.
For the original function:
(W . X + Y . Z)'
= (1 . 1 + 1 . 0)
= (1 + 0) = 1
For the compliment:
(W' + X') . (Y' + Z')
=(1' + 1') . (1' + 0')
=(0 + 0) . (0 + 1)
=0 . 1 = 0
Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.
Without the parenthesis the compliment equation looks like this:
W' + X' . Y' + Z'
1' + 1' . 1' + 0'
0 + 0 . 0 + 1
Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.
Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.
