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3 years ago

Please help me

1 answer:

6 0

$6\frac{1}{2}\ mi\ in\ 2\ hour\\\\
16\frac{1}{4} mi\ in\ x\ hour\\\\
proportion:\\
6\frac{1}{2}-2\\
16\frac{1}{4}-x\\\\
cross\ multiplication\\\\
6\frac{1}{2}x=2*16\frac{1}{4}\\\\
5.5x=32.5\ \ \ | divide\ by\ 5.5\\\\
x=5.9hour\\\\
It\ will\ take\ 5.9\ hours$

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$= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right] \left \begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 1 \ \leq age \leq 2 }\\{2 \ \leq age \leq 3}\end{array}\right$

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Also , the age transition matrix is as follows:

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After 1 year ; the age distribution vector will be :

$x_2 =Lx_1 = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right] \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right]$

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