Answer:
They all are?
Step-by-step explanation:
Answer: A. The value of his investment decreased by 16% during this time period.
Step-by-step explanation:
Here the initial amount = n
Final amount after 1 years = 0.84n
The total change in the initial amount = n - 0.84n = 0.16 n
= 
Thus, the amount is decreases by 16% in one year,
⇒ Option A is correct.
Answer:
13.5
Explanation:
The equation to find the slope (another word for the rate of change) of the line is (y2-y1)/(x2-x1) when the given points are (x1,y1) and (x2,y2).
When we plug in the given points, (3,-7) and (5,20) we can start solving.
(y2-y1)/(x2-x1)
(20-(-7))/(5-3)
Two negatives make a positive
= (20+7)/(5-3)
= 27/2
= 13.5
I hope this helps!
Answer:
a) clockwise sense
b) x² + y² = 1
c) y ∈ [0,1]
Step-by-step explanation:
a) x = cos (t) y = -sin (t)
for t ∈ [ 0 , 2π ]
for t = 0 point P is x = cos (0) = 1 y = -sin (0) y = 0
The point is on the x axis
Now let´s see what happens for t = π/4
x = cos (π/4) x = √2/2 and y = - sin (π/4) y = - √2/2
Note π/4 is 45°
The coordinates of the new point P ´(t = π/4) are in the fourth quadrant
that means the point is moving clockwise sense.
b) x = cos(t)
y = -sin(t)
Squaring on both sides of each equation we get:
x² = cos²t
y² = sin²(t)
Adding side by side
x² + y² = cos²t + sin²t
x² + y² = 1
Values for y are y ( 0 , 1)
