Answer:
.
Step-by-step explanation:
An exponential function is typically in the form 
, where 
and 
(
) are constants to be found.
In this question:
means that 
.
means that 
.
Divide one of the two equations by the other to eliminate and solve for .
The number of the right-hand side of the second equation is larger than that of the first equation. Hence, divide the second equation with the first:
.
.
.
.
Substitute 
back into either equation (for example, the first equation) and solve for :
.
.
Substitute and into the other equation. That equation should also be satisfied.
Therefore, this function would be:
.
As the number of files increases, the storage space used increases
Answer:
Volume of the frustum = ⅓πh(4R² - r²)
Step-by-step explanation:
We are to determine the volume of the frustum.
Find attached the diagram obtained from the given information.
Let height of small cone = h
height of the large cone = H
The height of a small cone is a quarter of the height of the large cone:
h = ¼×H
H = 4h
Volume of the frustum = volume of the large cone - volume of small cone
volume of the large cone = ⅓πR²H
= ⅓πR²(4h) = 4/3 ×π×R²h
volume of small cone = ⅓πr²h
Volume of the frustum = 4/3 ×π×R²h - ⅓πr²h
Volume of the frustum = ⅓(4π×R²h - πr²h)
Volume of the frustum = ⅓πh(4R² - r²)
Answer: $ 38.69 ; There are 12 people in the crew
