Answer:
14. 70% of 20000 is 14000. 25% of 14000 is 3500. 3500 students applied.
15. The percentage of 4000 that 2600 equates to would be 65%.
16. 4% of 33000 is 1320.
16b. Double of 1320 is 2640.
17. 3% of 110 + 275 + 200 + 145 is 21.9. 97% of that is 711.1. Total is 730.
18. There are 1656 men working. Total of 1380 + 1656 is 3036. Two ways to solve this are:
Honestly I can't think of two. Sorry, my brain is completely fried today.
19. 760 in sales commissions to meet the wage amount.
20. The agency gets 21010. 30% of that is 6303. This is explained by owning a calculator or simple value elimination.
Answer:
For the first one its: Volume = 402.12in³
For the second one its: Volume = 201.0619 in³
Step-by-step explanation:
For the first one work:
Volume = 3.1416 x 42 x 8
= 3.1416 x 16 x 8
For the second one work:
Volume = 3.1416 x 42 x 4
= 3.1416 x 16 x 4
Allright So you know the answer cannot be A or D because Why.... It says in the text that ur finding the area and area is adding so it has nothing to do with multiplying ok
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.
