Kaitlyn drove 360 miles in 9 hours. If she continues driving at the same speed, how far will she have driven in 11 hours?
1 answer:
You might be interested in
Given:
Anna’s cell phone plan charges her $30 per month plus a $150 one-time activation fee.
Evelyn’s cell phone plan charges her $20 per month, plus a $450 one-time activation fee.
To find:
The number of months after which the costs for the girls’ cell phone plans the same.
Solution:
Let x be the number of months.
Total cost = Fixed cost + Variable cost
According to the question, cost equation for Anna’s cell phone is
...(i)
Cost equation for Evelyn's cell phone is
...(ii)
Equate (i) and (ii) to find the time after which the costs for the girls’ cell phone plans the same.
Divide both sides by 10.
Therefore, the costs for the girls’ cell phone plans the same after 10 months.
Answer:
Required volume is unit.
Step-by-step explanation:
Given equations of curves,
,
substitute second in first we will get,
When and
. Thus both curves intersect at the points (4,16),(-4,16). And thus
.
Considering width of the representative rectangle as which is parallel to x-axis because of considering cylindrical shell. Therefore volume of the shell is given by,
Now,
Length of generating box=Length of from line x=4(axis of revolution)=circumference of the shell=(4-x)
Width of box=
Hence,
which is required volume of generating area.