In this question , it is given that
A pension fund invests $55,400 in utility stocks and earns 14% per year on the investment.
We have to find amount of money earned per year and for that we have to find 14% of 55400 which is
So he earner $7756 per year by investing $55,400 in utility stocks .
Answer:
The answer is below
Step-by-step explanation:
In triangle DEF, ∠D = 30°, ∠F = 60° and EF = 6. Find DE + DF.
Solution:
A triangle is a polygon with three sides. There are different types of triangles such as isosceles triangle, scalene triangle equilateral triangle, right angled triangle.
In triangle DEF:
∠D + ∠E + ∠F = 180° (sum of angles in a triangle)
30 + ∠E + 60 = 180
∠E + 90 = 180
∠E = 180 - 90
∠E = 90°
This is a right angled triangle since one angle = 90° (∠E).
Using sine rule:
Hence DE + DF = 12 + 10.39 = 22.39
Answer:
The system is composed of these two inequalities combined
y <= -x+4
y >= (1/3)x
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Explanation:
The solid line has the boundary equation y = -x+4
This line goes through (0,4) and (4,0). Using the slope formula, we find that m = -1. Plugging m = -1 and (x,y) = (0,4) into y = mx+b leads to y = -x+4
The shading is below the solid line so we change the equal sign to a "less than or equal to" sign, which leads us to y <= -x+4
That takes care of the first inequality. We must use "or equal to" as part of the inequality to ensure the boundary is solid
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The second inequality is y > (1/3)x as the boundary line is y = (1/3)x. This line goes through (0,0) and (3,1). The slope is 1/3 and y intercept is 0
The boundary is a dashed line. This means we don't have "or equal to" as part of the inequality
Answer:
(0,b) from a formula y=mx+b
(0,y) from a graph
Step-by-step explanation:
The arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.
To calculate the arrival time in london of a train that leaves Leicester to london at 11:50 A.M, use use the formula below.
Formula:
- Ta = [(d/s)+11:50]....... Equation 1
Where:
- Ta = Arrival time
- d = distance from Leicester to London
- s = Speed
From the question,
Given:
Substitute these values into equation 1
- Ta = [(100/80)+11:50]
- Ta = 1.25h+11:50
- Ta = 1 hours 15 minutes +11:50
- Ta = 13:05 pm
Hence, the arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.
Learn more about time here: brainly.com/question/4931057
