Answer:
Town B will eventually overtake Town A
in 1990 Town B will have a larger population
Step-by-step explanation:
To work out how big town A will be in 1990 you need to do 200 + (200x40) because you add 40 years worth of increased population onto the starting population
To work out how big town B will be in 1990 you need to use the equation 200 X 1.1^40 because to work out plus 10 percent you need to do 1.1 and do it to the power of 40 for how many years
in 1990 town a will have a population of 8200 and town B will have a population of 9051.85
Answer:
Linear and non-homogeneous.
Step-by-step explanation:
We are given that
We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).
We have also find type of differential equation.
It is linear differential equation because this equation is of the form
y'+P(x)y=g(x)
Compare it with first order first degree linear differential equation
Homogeneous equation
Degree of f and g are same.
Degree of f and g are not same .
Therefore, it is non- homogeneous .
Linear and non-homogeneous.
Short answer: 98
Remark
when you have an average of 71, it's like saying that you took 4 quizzes and got 71 on all of them.
Step One
Find the total point count for the 4 quizzes.
T_4 = 71 * 4 = 284
Step Two
Create an equation that will give you the necessary point count to average 86.
284 + 5*x = 86 * 9
Why did we do this? It is because you have 9 quizzes altogether. All nine must be something that gives a point count of 86 on each quiz. You have to put together 9 such quizzes with a total count of 774.
Step three
Solve the equation.
284 + 5x = 774 Subtract 284 from both sides.
5x = 774 - 284
5x = 490 Divide by 5
x = 490/5
x = 98
You must get an average of 98 on the next 5 quizzes
Answer: 98 <<<<<
Answer:
(x + 3)^2 + (y + 2)^2 = 98.
Step-by-step explanation:
(x - h)^2 + (y - k) ^2 = r^2 ( center is (h, k) and r = radius.)
So we have:
(x + 3)^2 + (y + 2)^2 = r^2
When x = 4 y = 5, so
(4 + 3)^2 + (5 + 2)^2 = r^2
r^2 = 7^2 + 7^2 = 98
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