Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere (
), measured in cubic feet, is represented by the following formula:
Where 
is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:
The derivative of the volume as a function of radius is:
Then, the change in volume is expanded:
If 
and 
, the change in the volume of the sphere is approximately:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Answer:
Therefore the value of bond will triple after 17.72 years.
Step-by-step explanation:
The formula of Compounded continuously
A= Amount after t year
P= initial amount
r = rate of interest
t= time in year.
Given that,
Jacobs college saving are invested in bond that pay 6.2% compounded continuously.
Let after t years the initial amount P will be triple i.e 3P.
Here P=P, A=3P, r= 6.2%=0.062
[ Multiply 
both sides]
Taking ln both sides
[ since 
]
years
Therefore the value of bond will triple after 17.72 years.
The gradient for a parallel line is the same.
perpendicular lines are negative reciprocals.
so all you have to do is re arrange it so y=Mx+b so the check out the gradients to what I listed above... remember y shouldn't have any number on it.
Im assuming you meant the 9th term and thats 47
Honestly just use photo math
