Step-by-step explanation:
Let the initial population of a community be P0 and the population after time t is P(t).
If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:
at t = 5 years, P(t) = 2P0
substitute:
If the population is 9,000 after 3 years
at t = 3, P(t) = 9000
a) Substitute into the formula to get P0
Hence the initial population is approximately 5938.
b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:
Hence the population of the community after 10 years is approximately 23,746
Answer:
(b) 68
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, 
and 
. The distance between them is given by:
Diagonal:
Diagonals are a line between opposite points in a square.
In this question, it is between A(0,3) and B(5,0), and between (0,0) and (5,3). Both these diagonals have the same measure, and are the distance between these points. So
Then sum of the squares of its both diagonals is units
Both diagonals measure 
. Sum of squares is:
The correct answer is given by option b.
Horizontal line is y=, because every point along that horizontal line will have the same y value. So, now look at the point and notice that the y value is 5. So the horizontal line with a y value of 5 is y=5. Thus the answer is f.
Answer: Choice B
(-2, 5)
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Explanation:
The original system is
Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations
Now add straight down
The x terms add to -4x+3x = -1x = -x
The y terms add to 3y+(-3y) = 0y = 0
The terms on the right hand sides add to 23+(-21) = 2
We end up with the equation -x = 2 which solves to x = -2
Now use this to find y. You can pick any equation with x,y in it
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-4x+3y = 23
-4(-2)+3y = 23
8+3y = 23
3y = 23-8
3y = 15
y = 15/3
y = 5
Or
x-y = -7
-2-y = -7
-y = -7+2
y = -5
y = 5
Either way, we get the same y value.
So that's why the solution is (x,y) = (-2, 5)
Answer:
hope you can read my handwriting
