Answer:
Both Answers are in the following attachment (a) and (b)
Step-by-step explanation:
Answer:
(2 x +1) ( x + 1) = 2 x² + 3 x + 1
Step-by-step explanation:
The steops used to find the product of (2 x + 1) (x + 1) are
=( 2 x )× x + (2 x) × 1 + x + 1
= 2 x² + 2 x + x + 1
= 2 x² + 3 x + 1
Answer:
Step-by-step explanation:
We are given the following in the question:
Let P be the number of professor and S be the student in a college.
According to the question:
There are 19 times as many students as professors.
We have to write an equation to show the given relationship between professors and students.

The above situation is the situation that represents the given relationship.
Answer:
--- function
The monthly rate is 10%
Step-by-step explanation:
Given
Let

So, we have:
--- Monday
--- One month later
Required
The function
The function is represented as:
In
, we have:




In
, we have:


Substitute: 

Solve for b


So, the function is:


To calculate the monthly rate (r), we have:

Compare to: 

Make r the subject

Substitute 


Express as percentage


Answer:
1,474,951.
Step-by-step explanation:
Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

Therefore, the population of the city in 13 years time will be:

The population be at that time will be approximately 1,474,951.