Answer:
Step-by-step explanation:
Given the following :
Number of shares purchased (2016) = 50
Purchase price of shares $396.33 per share
Closing price per share four years later = $778.38
A) What did Chadwick pay for all of the shares in 2016?
Purchase price per share × number of shares.
$396.33 × 50 = $19,816.50
B) What was the closing value of all of the shares four years later?
Closing price per share × number of ahaf
=$778.38 × 50
= $38,919
C.) Profit on stock :
$(38,919 - 19,816.50)
= $19,102.5
D) What is his rate of return on his shares when he sold them?
(Current Purchase - initial value) /current price
(778.3 - 396.33) / 396.33
= (381.97 / 396.33) 100%
= 0.9637675
=
Answer:
765 J
Step-by-step explanation:
We are given;
Mass of bucket = 30 kg
Mass of rope = 0.3 kg/m
height of building= 30 meter
Now,
work done lifting the bucket (sand and rope) to the building = work done in lifting the rope + work done in lifting the sand
Or W = W1 + W2
Work done in lifting the rope is given as,
W1 = Force x displacement
W1 = (30,0)∫(0.2x .dx)
Integrating, we have;
W1 = [0.2x²/2] at boundary of 30 and 0
W1 = 0.1(30²)
W1 = 90 J
work done in lifting the sand is given as;
W2 = (30,0)∫(F .dx)
F = mx + c
Where, c = 30 - 15 = 15
m = (30 - 15)/(30 - 0)
m = 15/30 = 0.5
So,
F = 0.5x + 15
Thus,
W2 = (30,0)∫(0.5x + 15 .dx)
Integrating, we have;
W2 = (0.5x²/2) + 15x at boundary of 30 and 0
So,
W2 = (0.5 × 30²)/2) + 15(30)
W2 = 225 + 450
W2 = 675 J
Therefore,
work done lifting the bucket (sand and rope) to the top of the building,
W = 90 + 675
W = 765 J
Answer:
312 ft
Step-by-step explanation:
The steps are as follows :
1. The problem can be described as an equation
2. Convert all values on the left side into their equivalent fractional values
3. Combine like terms
4. Multiply both sides by the reciprocal of 13/8 to isolate variable X
5. Simplify
6. Check answer by using it in the original equation
For this case we have the following polynomial:
The first thing to do is to place the variables on the same side of the equation.
We have then:
We complete the square by adding the term (b / 2) ^ 2 on both sides of the equation.
We have then:
Rewriting we have:
Therefore, the solutions are:
Answer:
the solution set of the equation is:
PART 1:55-21=35
35/60=<span>.58333
360</span>×<span>.58333 =210 DEGREES
</span><span>210*pi/180 = 3.665 RADIANS
PART 2: </span><span>(pi) x 2r x .58333
</span><span>3.14 x 12 x .58333 = 21.98 in
PART 3: </span><span>5π inches = 5 x 3.14 = 15.708 inches / 6 in radius = 2.618 radians
PART 4: </span><span>2.618 radians * 180/pi = 150° </span>
<span> x coordinate = 6(cos 150°) = -5.196 </span>
<span> y coordinate = 6(sin 150°) = 3 </span>
<span> the coordinates would be (-5.196, 2)</span>
