Answer:
4.875 billion hours
Step-by-step explanation:
-Let X be the total time spent on taxes and 7.8 billion (80%) is time on paper work.
#We equate and cross multiply to get the total time on taxes:
-let y be the 50% amount of time spent. we equate to find it in actual hours:
Hence, 50% of the time is equivalent to 4.875 billion hours
See the attached sketch. Let denote angle ABC and
denote angle CBD. Then
.
From the sketch, we see that
Write in terms of
. Recall the angle sum identity for tangent:
This gives us
and plugging in leaves us with
and so AD = 5 * 37/55 = 37/11.
For this case we have the following equation:
We manipulate algebraically to bring the equation to the slope-intersection form y = mx + b
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal.
Thus, the line is of the form:
We find the cut-off point by replacing the given point:
Thus, the line is of the form:
Answer: