the country's population in 1994 was 76 million in 1998 it was 81 million estimate the population in 2016

1 answer:

7 0

Between 1994 and 1998 the population increased by 5 miliion, approximately 1 1/4 million a year.

2016 - 1998 = 18 years at 1 1/4 million a year = 22 1/2 million

Estimate therefore is: 81 + 22 1/2 = 103 !/2 million

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James has 861 feet of rope. There are 14 teams of hikers.

IceJOKER [234]

Answer:

61.5 Feet of Rope

Step-by-step explanation:

Divide the rope length, 861 feet, by 14 people.

5 0

3 years ago

-0.4a + 3 = 7<br><br>a = ?

kherson [118]

-0.4a = 7 - 3

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3 years ago

Write the linear system of differential equations in matrix form then solve the system.

zvonat [6]

In matrix form, the system is

$\dfrac{\mathrm d}{\mathrm dt}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}1&1\\4&1\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}$

First find the eigenvalues of the coefficient matrix (call it $\mathbf A$ ).

$\det(\mathbf A-\lambda\mathbf I)=\begin{vmatrix}1-\lambda&1\\4&1-\lambda\end{vmatrix}=(1-\lambda)^2-4=0\implies\lambda^2-2\lambda-3=0$

$\implies\lambda_1=-1,\lambda_=3$

Find the corresponding eigenvector for each eigenvalue:

$\lambda_1=-1\implies(\mathbf A+\mathbf I)\vec\eta_1=\vec0\implies\begin{bmatrix}2&1\\4&2\end{bmatrix}\begin{bmatrix}\eta_{1,1}\\\eta_{1,2}\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix}$

$\lambda_2=3\implies(\mathbf A-3\mathbf I)\vec\eta_2=\vec0\implies\begin{bmatrix}-2&1\\4&-2\end{bmatrix}\begin{bmatrix}\eta_{2,1}\\\eta_{2,2}\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix}$