The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
40 ÷10 = 4
Mrs Edward knitted 4 pairs of gloves.
Answer:
Option E
Step-by-step explanation:
The standard equation of circle is:- (x-h)² + (y-k)² = r²
where (h,k) is center point and r is radius
If radius r is decreased then also (h,k) remains same, only r² increases
Equation given in question is x² + y² + Cx + Dx + E=0
So, C and D will remain same but E will increase
I think it is a because it shows us the points that the students made. I also think it is d. But I think it is mainly a.
-Dhruva;)
Answer:
x = 8
I dunno what the question is in the first place, but I assume you are solving for x.
Step-by-step explanation:
The two given angles are equivalent because they are parallel and they have a line that intersects.
The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.
The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.
120 = -8 + 16x
128 = 16x
8 = x
x = 8
