The maximum value is actually the maximum of y
So, you don't need to care about the stuff inside cosine function,
Cosine function is always within the range of [-1,1]
So here, ymax = -1 + 6* 1 = 5
I believe this would take the form of an exponential
equation:
A = Ao (1 + r)^t
where A is final population, Ao is initial population, r
is rate of growth and t is time
A / Ao = (1 + r)^t
log A / Ao = t log (1 + r)
t = (log A / Ao) / log (1 + r)
t = [log (1000 / 550)] / log (1.075)
t = 8.27 years
SO the answer is B) about 9 years
Answer:
Slope = 
Equation of the line → 
Step-by-step explanation:
Let the equation of diagonal OA is,
y = mx + b
Here, m = Slope of the line OA
b = y-intercept
Slope of a line passing through two points 
and 
is given by,
m = 
Therefore, slope of the line passing through O(0, 0) and A(3, 4) will be,
m = 
m =
Since, line OA is passing through the origin, y-intercept will be 0.
Therefore, equation of OA will be,
Answer:
Option F is correct, i.e. "rotating 90° counterclockwise around point C."
Step-by-step explanation:
Given is the regular octagon PQRSTVWZ with its center at point C.
To map octagon PQRSTVWZ onto itself, we must provide such a transformation that should not change the size or coordinates of the vertices.
We can not use Translations, Reflections, and Dilations because they will change size and coordinates.
We can use only Rotations and that should be about the center C of the regular shape.
About center point C, and rotations of 90° does not change the orientation of the regular octagon, Both images would overlap each other.
Hence, option F is correct, i.e. "rotating 90° counterclockwise around point C."
Answer:
Sebastian didn't interpret the numbers correctly (See explanation)
Step-by-step explanation:
If you go up an elevator, you are gaining floors, so the number is positive.
If you go down an elevator, you are losing floors, so the number is positive.
Looking at the statement, he went 7 floors up to his room, then 9 floors down to the parking garage this can be represented as 
, since the 7 is positive and the 9 is negative.
Sebastian described the movement as 
, which is wrong - 9 should be -9 and -7 should be 7.
Hope this helped!
