The maximum value of <em>n</em> (<em>A</em> ∩ <em>B</em>) occurs when <em>A</em> ⊂ <em>B</em> (i.e. when <em>A</em> is a subset of <em>B</em>), in which case <em>A</em> ∩ <em>B</em> = <em>A</em>, and so max{<em>n</em> (<em>A</em> ∩ <em>B</em>)} = <em>n</em> (<em>A</em>) = 11.
Answer:
The rate is cups per hour
Step-by-step explanation:
It took the faucet 1 1/2 hours, i.e 1.5 or 3/2 hours to fill 1/4 cup by leaking
We need to find the rate in terms of cups that can be filled by water in 1 hour.
Using unitary method:
If it takes h for cup;
then it will take 1 h for how many cups?
cups
Therefore, the rate is cups per hour
Answer: y = -6x + 4.5
Step-by-step explanation:
to put it into slope intercept form use the standard form y=mx+b
where m is the slope and b is the y intercept
First, we have to find the slope
the slope is found using (y1-y2)/(x1-x2)
so you have 10.5-4.5 over -1-0 or 6 over -1
So the slope is -6
Second, we have to use a given Y value for the intercept
y = -6x + 4.5
100x(1+0.04/4)^4x4
$117.26