I believe it’s 16/21 but I’m not sure.
Answer:
use symolab
Step-by-step explanation:
Separate the vectors into their <em>x</em>- and <em>y</em>-components. Let <em>u</em> be the vector on the right and <em>v</em> the vector on the left, so that
<em>u</em> = 4 cos(45°) <em>x</em> + 4 sin(45°) <em>y</em>
<em>v</em> = 2 cos(135°) <em>x</em> + 2 sin(135°) <em>y</em>
where <em>x</em> and <em>y</em> denote the unit vectors in the <em>x</em> and <em>y</em> directions.
Then the sum is
<em>u</em> + <em>v</em> = (4 cos(45°) + 2 cos(135°)) <em>x</em> + (4 sin(45°) + 2 sin(135°)) <em>y</em>
and its magnitude is
||<em>u</em> + <em>v</em>|| = √((4 cos(45°) + 2 cos(135°))² + (4 sin(45°) + 2 sin(135°))²)
… = √(16 cos²(45°) + 16 cos(45°) cos(135°) + 4 cos²(135°) + 16 sin²(45°) + 16 sin(45°) sin(135°) + 4 sin²(135°))
… = √(16 (cos²(45°) + sin²(45°)) + 16 (cos(45°) cos(135°) + sin(45°) sin(135°)) + 4 (cos²(135°) + sin²(135°)))
… = √(16 + 16 cos(135° - 45°) + 4)
… = √(20 + 16 cos(90°))
… = √20 = 2√5
Answer:
<u>The correct answer is C. 600 shares worth $16.67 each </u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Number of old shares Jim owns in Gamma Vision Inc = 400
Value of each share = $ 25
Ratio of new shares : old shares after the split = 3:2
2. How many shares will he have after the split and how much will each be worth? Select the best answer from the choices provided.
A. Let's use the ratio provided to calculate the number of new shares Jim will own, this way:
New shares = 400 * 3/2 = 1,200/2 = 600
B. Let's calculate the price of the new share, this way:
The total value of the new shares should be the same than the total value of the old shares, then:
400 * 25 = 600 * x
10,000 = 600x
x = 10,000/600 = 16.67
<u>The correct answer is C. 600 shares worth $16.67 each </u>
