You have to replace the x and y values to the equations in order to determine if they are equal to each other
Answer:
<u>18.8%</u>
Step-by-step explanation:
For calculating this, focus on one part of the table :
- The row where students do not like sandwiches
There are 32 students who do not like sandwiches, and 6 of them do not like pies. Take this a proportion :
- P (does not like pies, do not like sandwiches) = 6/32
- P = 3/16
- P = <u>18.8%</u>
The answer is 114.5%.
Let the original population be denoted by x.
Now, let's go through the percentage increase per year.
<u>Year 1</u>
<u>Year 2</u>
- 1.2x (1 + 25%)
- 1.2x (1.25)
- 1.5x
<u>Year 3</u>
- 1.5x (1 + 30%)
- 1.5x (1.3)
- 1.95x
<u>Year 4</u>
- 1.95x (1 + 10%)
- 1.95x (1.1)
- 2.145x
Overall increase : 214.5% - 100% = 114.5%
Hence, the overall percentage increase in these 4 years is 114.5%.
Answer:
depends which way you rotate it
Step-by-step explanation:
counterclockwise rotation: (6,5)
clockwise rotation: (-6,-5)
Answer:
The minimum value for
is
.
Step-by-step explanation:
Given function is 
We need to find the maximum value or the minimum value for the function.
Now, differentiate
w.r.t
.


Now, we will equate
to find critical point.

Plug this critical point in to the function
we get,

Also,
which is positive, We have minimum value.
So, the minimum value for
is
.