Step-by-step explanation:
a.)Buying: total cost
Total cost= commission + (price per share× Number of of shares ) ;
Total cost= 11 + (19.72×30)= $591.6+11= $601.6
b.)Net gain or loss;
First, find cash received from sale of stock and deduct commission;
Cash from sale =20.75×30= $ 622.5
deduct commission= 622.5-11= $611.5
Gain or loss= sale-cost = 611.5-601.6 = $9.9, meaning there is a profit.
c.) Annual rate of return= (net gain or loss/amount paid)×100%
return= 9.9/(601.6)×100 = 1.645%
Complete question is;
Find the exact values of the six trigonometric functions 0 if the terminal side of 0 in standard position contains the points(-5,-4).
Answer:
Sin θ = -4/√41
Cos θ = -5/√41
tan θ = 4/5
Cosec θ = (√41)/-4
Sec θ = (√41)/-5
Cot θ = 5/4
Step-by-step explanation:
Now, we are given the point (-5, -4)
These are x and y points.
They will form a triangle and we know that from pythagoras theorem;
x² + y² = r²
Where r is the distance between the point and the origin
Thus;
r² = (-5)² + (-4)²
r² = 25 + 16
r = √41
So, y is the opposite side of the triangle while x is the adjacent side with r being the hypotenuse.
Thus, the trigonometric ratios are;
Sin θ = opp/hyp = -4/√41
Cos θ = adj/hyp = -5/√41
tan θ = opp/adj = -4/-5 = 4/5
Cosec θ = 1/Sin θ = 1/(-4/√41) = (√41)/-4
Sec θ = 1/cos θ = 1/(-5/√41) = (√41)/-5
Cot θ = 1/tan θ = 1/(4/5) = 5/4
Answer:
y=0
Step-by-step explanation:
Reorder the terms:
2 + -1(2 + y) = 3y
2 + (2 * -1 + y * -1) = 3y
2 + (-2 + -1y) = 3y
Combine like terms: 2 + -2 = 0
0 + -1y = 3y
-1y = 3y
Solving
-1y = 3y
Add '-3y' to each side of the equation.
-1y + -3y = 3y + -3y
Combine like terms: -1y + -3y = -4y
-4y = 3y + -3y
Combine like terms: 3y + -3y = 0
-4y = 0
Divide each side by '-4'.
y = 0
hope this helps
