Answer:
v = -8i - 6j
Step-by-step explanation:
The starting point is (9, 9)
The direction of the vector is the direction of the arrowhead.
The i is the horizontal component.
The j is the vertical component.
Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).
Therefore, v = -8i - 6j
The answer is C because It is going at the same rate. It would work the same if it was negative or positive.
I hope this helped :)
Let w = cos(x)
The given equation turns into -5w^2 + 4w + 1 = 0. Use the quadratic formula to find that the two solutions, in terms of w, are:
The solution w = 1 leads to cos(x) = 1 which then becomes x = 0, x = 2pi, x = 4pi, etc. The general way to write this is x = 2pi*n where n is any integer. These angles are in radian mode.
The solution w = -0.2 leads to cos(x) = -0.2 which becomes x = arccos(-0.2) = 1.77215 approximately assuming your teacher wants the angle in radian mode. Unfortunately, I don't know the exact value of x here. There may not be an exact value, or finding this exact value may be well beyond the scope of this course.
Answer:
$318
Step-by-step explanation:
Calculation to determine the predicted end-of-year value of a portfolio
Given expression 1.08s + 1.02b
Now let determine the Predicted end-of-year value
Predicted end-of-year value=1.08(200) +1.02(100)
Predicted end-of-year value=216+102
Predicted end-of-year value=$318
Therefore the predicted end-of-year value of a portfolio will be $318
Answer:
$25.50
Step-by-step explanation:
On this question you have to subtract 6 dollars from one of the answers and add that same amount back on because that would equal the total amount of lunch money. A wouldn't work because 31.50-6+31.50 is over 45 dollars. When you have 25.50-6+25.50 you get 45
