Answer:
Step-by-step explanation:
We have been given that the area 
(in square meters) of a circular algae colony with radius r meters is given by 
. The radius 
(in meters) after t minutes is given by 
. We are asked to write the formula for the area 
(in square meters) of the algae colony after t minutes.
This problem is based on composite functions, in which function represents radius of circle after t minutes.
To write the formula for the area (in square meters) of the algae colony after t minutes, we need to substitute 
in area formula .
Therefore, our required formula would be .
The recursive formula 
means that the next term in the sequence is 5 more than the previous one.
So, we know that we start from 
, which means that the next term is
Similarly,
Answer:
The interpretation is that we are 90% sure that the true average salary of the district is in this interval.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
The 90% confidence interval for the average salary of the district is [41500,49750].
This means that we are 90% sure that the true average salary of the district is in this interval.
4 and 5 are between 3 and 6
