Answer:
<em>See Attachment for Graph</em>
<em></em>
Step-by-step explanation:
Given
Solving (a): Number of lawns in $240
Multiply both sides by 20
Solving (b): Cost of mowing 9 lawns
Multiply both sides by 9
To create a graph, we need to generate a formula;
If
So:
<em>The graph formula is</em>
<em>See Attachment for Graph</em>
Answer:
Tap A 3hrs
Tap B 6hrs
Step-by-step explanation:
Let the volume of the swimming pool be Xm^3.
Now, to get the appropriate volume, we know we need to multiply the rate by the time. Let the rate of the taps be R1 and R2 respectively, while the time taken to fill the swimming pool be Ta and Tb respectively.
x/Ta= Ra
x/Tb= Rb
X/(Ra + Rb)= 2
Ta = Tb - 3
From equation 2:
X = 2( Ra + Rb)
Substituting the values of Ra and Rb Using the first set of equations
X = 2( x/Ta + x/Tb)
But Ta = Tb - 3
1/2 = 1/(Tb - 3)+ 1/Tb
0.5 = (Tb + Tb-3)/Tb(Tb - 3)
At this juncture let’s say Tb = y
0.5 = (2y - 3)/y(y - 3)
y(y-3 ) = 4y - 6
y^2 -3y - 4y + 6 = 0
y^2 -7y + 6= 0
Solving the quadratic equation, we get y =
y = Tb = 6hrs or 1hr
We remove one hour as we know that Tap A takes 3hrs left than tap B and there is nothing like negative hours
Now, we get Ta by Tb -3 = 6 - 3 = 3hrs
<span>First, we must calculate the amount that will be available after two years. This is given by:
Amount = initial amount * (1 + interest rate)^time
Amount = 1500 * (1 + 0.05)^2
Amount = $1,653.75
Therefore, the only items you can buy using this amount are the electronics worth $1,650</span>
Answer: Both the mean and median decreased.
Step-by-step explanation:
The addition of the 500 lb baby elephant will have a huge impact on the mean, since you'll be finding the average (adding all numbers then dividing). So the only logical answer would be the chosen. The median will most likely either decrease or stay the same, but since staying the same isn't an option for the median, it's most likely going to be decrease.
[I do apologize in advance if it's wrong, and next time try submitting work on time :)) Hope I helped!]
