Answer:
1) The size of the colony after 4 days is 6553 mosquitoes
2) After
Step-by-step explanation:
To answer this question you must use the growth formula

Where
is the initial population of mosquitoes = 1000
t is the time in days
k is the growth rate
N is the population according to the number of days
We know that when t = 1 and
then N = 1600
Then we use these values to find k.

Now that we know k we can find the size of the colony after 4 days.

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

The area of the circle will be 28.27 km.
Answer: Yes
Step-by-step explanation:
So a coordinate pair is always set up (x,y) so you plug the x term in the coordinate pair into the x in the equation and the y term in for the y. 3×2 + 2×-1. Multiply them together and you end up with 4.
Answer:
(0,-2)
Step-by-step explanation:
First we find the equation of the line passes through
and
.
The slope of the line is

So by the point slope formula the equation of the line is

When
we have
.
Therefore the line joining the two points cuts the y-axis at (0,-2).