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bearhunter [10]
3 years ago
15

Find the equation of the exponential function represented by the table below : X Y

Mathematics
1 answer:
leva [86]3 years ago
5 0

Answer:

f(x) = 0.01 × 2^(x+1)

Step-by-step explanation:

0.02 = 0.01 × 2¹

0.04 = 0.01 × 2²

0.08 = 0.01 × 2³

0.16 = 0.01 × 2⁴

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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

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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.

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

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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]

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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]

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