Answer:
Number of the peoples were satisfied with the career guidance are 300 .
Step-by-step explanation:
Formula
As given
A survey with a two-point scale was conducted in an organization.
It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided.
If 2,000 people participated in the survey.
Total value = 2000
Percentage = 85%
Putting all the values in the formula
Part value = 1700
i.e
People not satisfied by the career guidance = 1700
People satisfied by the career guidance = Total people participated in survey - People not satisfied by the career guidance .
Putting the values in the above
= 2000 - 1700
= 300
Therefore the number of the peoples were satisfied with the career guidance are 300 .
Part A)
Multiply the amount he earned by 8.5%
8.5% written as a decimal is 0.085.
75,000 x 0.085 = $6,375
Part B)
Subtract the amount of tax from his earnings:
75,000 - 6,375 = $68,625
60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2
abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.
d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
And plug in the condition that it must satisfy x=30, y=30.
30 = 2t/15 * (30 - t) + (1/15)t^2
t = 30 ± 2√15 = 8.79 or 51.21
The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
So the only solution is she needs to let go x = 8.79 m east and y = 5.15 m north of the vertex.
D = k + 20
j = 3k - 120
d = j
k + 20 = 3k - 120
20 + 120 = 3k - k
140 = 2k
140/2 = k
70 = k.....so Katie weighs 70 lbs
David and Johnathan each weigh 90 lbs
