Answer:
Part 1) Australia 
Part 2) China 
Part 3) Mexico 
Part 4) Zaire 
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by

where
P(t) is the population
t is the number of years since year 2000
a is he initial value
r is the rate of change
Part 1) Australia
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

Part 2) China
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

Part 3) Mexico
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

Part 4) Zaire
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

Y = a (b^x)
1) x = 0, y = 3500
=> 3500 = a (b^0)
=> 3500 = a (1)
=> a = 3500
2) growth percent = 3.5% => growth rate = 1.035 = b
=> y = 3500 (1.035)^ x
3) year 2020 => x = 2020 - 2000 = 20
4) y = 3500 (1.035)^ 20 = 6964
Answer: 6964.
The expansion of a perfect square is

In words, the square of a sum of two terms is the sum of the squares of the two terms (
and
), plus twice the product of the two terms (
)
So, when determining if you have a perfect square trinomial, you should have two perfect squares. Note that they don't have to be the first and third term, since you can rearrange terms as you prefer.
The area of a rectangle is the product of its dimensions
The dimensions of the rectangle are:
and 
The area is given as:

Express 125 as 5^3

Apply difference of cubes


The area of a rectangle is:

So, by comparison:


Read more about areas at:
brainly.com/question/3518080