<h2>
Answer:</h2>
B. |y| = 1.6
<h2>
Step-by-step explanation:</h2>
A sketch of the vector is attached to this response.
As shown, the vector lies on the second quadrant and its horizontal and vertical components are given by x and y respectively.
Where;
|x| = v cos θ -----------------(i)
|y| = v sin θ -----------------(ii)
and
v = magnitude of the vector = 2.5km/hr
θ = angle that the vector makes with the +x axis = 90° + 50° = 140°
<em>To get the magnitude of the vector's vertical component</em>
<em>Substitute these values into equation(ii) as follows;</em>
|y| = 2.5 sin 140°
|y| = 2.5 x 0.6428
|y| = 1.607
|y| ≅ 1.6 km/hr
Therefore, the vertical component of the vector has a magnitude of 1.6 km/hr.
Answer:
B. 6.2
Step-by-step explanation:
![5(5 + x) = 4(4 + 10) \\ \\ 25 + 5x = 4(14) \\ \\ 25 + 5x = 56 \\ \\ 5x = 56 - 25 \\ \\ 5x = 31 \\ \\ x = \frac{31}{5} \\ \\ x = 6.2](https://tex.z-dn.net/?f=5%285%20%2B%20x%29%20%3D%204%284%20%2B%2010%29%20%5C%5C%20%20%5C%5C%2025%20%2B%205x%20%3D%204%2814%29%20%5C%5C%20%20%5C%5C%2025%20%2B%205x%20%3D%2056%20%5C%5C%20%20%5C%5C%205x%20%3D%2056%20-%2025%20%5C%5C%20%20%5C%5C%205x%20%3D%2031%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B31%7D%7B5%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%206.2)
I never came across a question like this one. Time to reason my way to the answer.
We know that f(x) = y.
In the point given, y = 8.
So, f(x) - 2 = y - 2 = 8 - 2 = 6.
The corresponding point should be (-5, 6).
Answer:
Step-by-step explanation:
You should have specified that this is simple interest.
I=P(r/12)t
r=(12I)/(Pt)
r=(12(40))/(500(16))
r=0.06
r=6%