Answer:
Vertex(-3,1)
Step-by-step explanation:
We have a graphical representation of our parabola.
Showing both the x axis and the y axis and showing the values of each point of the parabola on it.
As we can see we have some major points like point p = (-4,0)
And point q = (-1,-3)
What I want to point out is that every unit represent a two then half of it represents a one.
So the position of our vertex which is the maximum point on the graph
X axis = -3
Y axis =1
So the point our vertex is located
Vertex(-3,1)
Answer:
i ) $96120
ii ) Singular adult fee in 2012: $186.91
Step-by-step explanation:
( i )
To find the costs of all 560 peoples you:
Multiply the amount of people by the fee,
440 × 198 = $87120
120 × 120 = $9000
Add these go get the sum of member fees: $96120
( ii )
First calculate what 1% of the adult fee would be:
198 ÷ 100 = 1.98 = 1%
Then calculate what 0.1% of the fee:
1.98 ÷ 10 = 0.198 = 0.1%
Now multiply 5 by the value of 1% to get 5% :
5 × 1.98 = 9.9
Then multiply 6 by the 0.1% to get 0.6% :
0.198 × 6 = 1.188
Add these numbers together to get:
1.188 + 9.9 = $11.088 = 5.6%
Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)
$11.09
We now subtract this from the 2013 fee to find out the 2012 fee
$198 - $11.09 = $186.91
$186.91 was the cost of a singular adult fee in 2012
Step-by-step explanation:
total = ¼(sale $ + marathon $)
253.75 = 1/4(184.6 + m)
1,015 = 184.6 + m
m = $830.40
After the first, we have 2/3 left, the second and third took 1/6 and 1/4, or 5/12 (1/6+1/4=2/12+3/12=(2+3)/12=5/12). Now, we just subtract 5/12 from 2/3, so 2/3-5/12=8/12-5/12=(8-5)/12=3/12=1/4. This means we have 1/4 of an hour left.
