Answer:
I kinda did a lil of this in my head so i might not be 100% correct, but i would say the bigger group is 20 and the smaller group is 10
<u>Answer:</u>
A. y = -2 - cos(x-π)
<u>Explanation:</u>
<u>The general form of the trig equation is:</u>
y = A sin (Bx + C) + D
where:
A is the amplitude
is the period
is the phase shift
D is the vertical shift
<u>Now, let's check the choices:</u>
<u>A. y = -2 - cos(x-π)</u>

Therefore, the function has a phase shift of π
<u>B. y = 3 cos(4x)</u>

Therefore, the function has no phase shift
<u>C. y = tan(2x)</u>

Therefore, the function has no phase shift
<u>D. y = 1 + sin(x)</u>

Therefore, the function has no phase shift
<u>Based on the above,</u> the correct answer is A
Hope this helps :)
Answer: choice D) 20
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Explanation:
Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.
Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.
We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.
To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope
In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20
The slope of the line is 20, so therefore, the average rate of change is 20.
Answer:
The required amount of interest is $5538.
Step-by-step explanation:
Given : $1,500 invested for 20 days at 6.75%, compounded daily.
To find : The amount of interest ?
Solution :
Applying compound interest formula,
Where, A is the amount
P is the principal P=$1500
r is the interest rate r=6.75%=0.0675 compounded daily
t is the time t=20 days
Substitute the value in the formula,
Therefore, The required amount of interest is $5538.