S Graph the equation by plotting three points if all three are correct the line will appear -3y=X-6

A population has the following characteristics.(a) A total of 25% of the population survives the first year. Of that 25%, 75% su

zaharov [31]

Answer:

After 1st year, the age distribution will be

$x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

After 2nd year, the age distribution will be

$x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]$

Step-by-step explanation:

A population has the following characteristics.

A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year.

The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.

From the above information, we can construct a transition age matrix.

$A = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right]$

The population now consists of 144 members in each of the three age classes.

From the above information, we can construct the current age matrix.

$x = \left[\begin{array}{ccc}144\\144\\144\end{array}\right]$

How many members will there be in each age class in 1 year?

After 1st year, the age distribution will be

$x_1 = A \cdot x$

$x_1 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}144\\144\\144\end{array}\right]$

The matrix multiplication is possible since the number of columns of first matrix is equal to the number of rows of second matrix.

$x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

After 2nd year, the age distribution will be

$x_2 = A \cdot x_1$

$x_2 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

$x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]$

4 0

4 years ago

Radical 9x^2+x -3 limit as x approach infinity

Darina [25.2K]

The answer is infinity.

7 0

3 years ago

Increase or decrease 32 pages to 28 Pages round to the nearest tenth of a percent

Amiraneli [1.4K]

Hello! I would love to help!

Let's start by decreasing 32 pages to 28. How many pages does it take to get from 28 to 32? Let's subtract to find out!

32-28=4

Okay, now we know 28 pages is 4 less than 32.

Now, what percentage did it decrease by? Let's find out by dividing!

4/32=0.125

Let's make that decimal into a percentage by multiplying it by 100.

0.125*100=12.5

So, we now know the answer is...

decreased by 12.5%

Hope this helped! Comment if you have questions!

6 0

3 years ago

3 out of 4 = ____% ?!

Ainat [17]

3 0

3 years ago

What is the distance between these points: (3,-16) and (-10,-12)

Alex Ar [27]

Distance between points (3, -16) and (-10, -12) is 13.6015

8 0

3 years ago

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