Answer:
2468.11 dollars
Step-by-step explanation:
Amount that should be available after four years =3000 $
Interest rate = 5%
No of years =4
Let P be the principal invested
Then
Hence 2468.11 dollars should be deposited to get 3000 dollars after 4 years at 5% interest.
Given:
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.
To find:
The volume of the figure.
Solution:
Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.
Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.
If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.
Volume of a cone is
where, r is radius of the base and h is vertical height of the cone.
Putting r=6 and h=9, we get
Therefore, the volume of the figure is sq. units.
A)
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B)
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C)