Answer:

Step-by-step explanation:
Let t represent the number of teachers.
We have been given that Noor gave 1/3 of a sheet to each of the 45 students at recess.
Let us find the number of sheets given to students by Noor by multiplying the total number of students by the part of sheet given to each student.


So, Noor gave 15 sheets to 45 students.
We have been given that Noor wants to give
sheet to each teachers, so the number of sheets given to t teachers will be
.
As Noor has bought 21 sheets, so the number of sheets given to students and t teachers will be less than or equal to 21.
We can represent this information in an inequality as:

Therefore, the inequality
represents the number of teachers ,t, Noor could give sheets of stickers too.
Given:
The function is

The binomial
is a factor of f(x).
To find:
The value of
.
Solution:
If
is a factor of f(x), then
.
It is given that,
is a factor of f(x), then
.
We have,

Substituting x=4, we get




Now,





Therefore, the value of a is 5.
This is a simple problem with some quick addition and subtraction, and a bit of multiplication.
First we figure out how much money you're spending in total, which is $300 each year, for 20 years, so 300 x 20 = 6,000. Now, since the problem is asking for a maximum amount for percentage rate, this means we find the 9% for all 20 years combined and not individually. 9% of 6,000 is of course 540, so if we subtract 540 from 6,000, we get 5,460.
This means your answer is $5,460