Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 10,000 shares at $5.50 per share. Stock B opens on
Monday with 8000 shares at $6.25 per share. Stock A opens on Tuesday at
$5.80 per share, and stock B opens on Tuesday at $6.65 per share. Both
stocks have the same number of shares that they opened with on Monday.
What is the rate of change of this simple index over 1 day?
I

it’s the first one your welcome

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west