Answer:
a) 
b) The population estimated in 2008 is of 24651.
Step-by-step explanation:
The population growth model may be given by the following exponential function:

In which P(t) is the population after t years,
is the initial population and r is the growth rate.
(A.) Find a function that models the population t years after 2000 (t=0 for 2000)
We have that:
. So


(B.) Use the function from part A to estimate the fox population in the year 2008.
2008 is 8 years after 2000. So:

The population estimated in 2008 is of 24651.
The two problems are almost identical: you have to set up a system, and then solve it.
In the first case, let
and
be, respectively, the number of girls and boys.
We know that
(the number of girls in the Spanish Club is four more than twice the number of boys). Also, we know that
(there are 61 students in total).
So, we have the system

We can use the first equation to substitute in the second

And then solve for
:

For the second problem, let
and
be the number of pins knocked down by, respectively, Carrie and John. Just like before, we have the system
And you can solve it in the very same way we solved the previous one.
Answer:
324
Step-by-step explanation:
given that in a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?"
i.e. Sample proportion 
Margin of error = 4% = 0.04
Confidence level =90%
Z critical value for 90% = 1.645
Margin of error = 1.645 * std error
Hence std error = 
Std error is also equal to

Sample size should be 324.
The formula is sample size = (Z critical value)^2 (pq)/(Margin of error )^2
Answer:
With Two points is enough to describe this graph
![\left[\begin{array}{ccc}\frac{4}{6} &0\\0&-4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B4%7D%7B6%7D%20%260%5C%5C0%26-4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Interception with Y axis (y=0), thus we have the following equation:


The point for this is (4/6 , 0)
Interception with x axis (x=0), thus we have the following equation:


The point for this is (0, -4)
A. Is y=2x+3
B. Is y=-x+6 or in pt slope form y-5=-1 times (x-1)
C. Is (1,5) you can graph the slope intercept form equations to show your work :)