<h2>Problem 6:</h2><h2>a)</h2>
<h2>b)</h2>
<h2>c)</h2>
<h2 />
Answer:
$127.60
Step-by-step explanation:
If Lisa bought 30 shares of stock at $54.02 per share, total cost price will be:
30×$54.02
= $1620.6
If she then sold her shares at $58.19 per share, her total selling price will be:
30×$58.19
= $1745.7
Profit = selling price - cost price
Profit = $1745.7-$1620.6
Profit = $125.1
If her broker charges a 2% commission for all transactions, her total charge will be:
2% of $125.1
= $2.50
Her net gain = profit + broker's charge
= $125.1+$2.50
= $127.60
The secant of the angle through a point (-5, 3) is -13/5
<h3>Equation of a circle</h3>
The equation of a circle with center (0,0) is given by
x² + y² = r² where r = radius of circle
Now, comparing this to the equation of the given circle x² + y² = 169,
⇒ r² = 169
r = √169
r = 13
<h3>Secant of angle </h3>
The secant of the angle through a point (x, y) is secФ = r/x where
- r = radius of circle and
- x = x-coordinate of point
Now for the point A(-5,12), x = -5.
Since r = 13
secФ = r/x
= 13/-5
= -13/5
So, The secant of the angle through a point (-5, 3) is -13/5
Learn more about secant of an angle here:
brainly.com/question/14910565
Answer:
the equation of line w will be y = 1/109x + 325/109
Step-by-step explanation:
when a line is perpendicular to another line, that means their slopes are reversed signs and flipped.
so if one slope is 2/3, the perpendicular slope would be -3/2
so in this problem, line w would have 1/109 be the slope.
using this, we can substitute m as the slope and the given point in the problem as x and y and solve for b in the slope-intercept form (y = mx +b)
m = 1/109
(2,3)
y = mx + b
3 = (1/109)2 + b
3 = 2/109 + b
327/109 = 2/109 + b
325/109 = b
putting it all together, the equation of line w will be y = 1/109x + 325/109
Answer: 14.8
Step-by-step explanation:
11.1^2 + x^2 = 18.5^2
X is 14.8
