Question

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Answer 1

Answer:

The amount of water in the reservoir at the beginning of second week

$w_{2} = 299.8800$

Step-by-step explanation:

Step(i):-

Given equation

  w₀ = 300  and

$w_{n} = (0.9993) w _{n-1} + 0.15$

Put n =1

$w_{1} = (0.9993) w _{1-1} + 0.15$

$w_{1} = (0.9993) w _{0} + 0.15$

$w_{1} = (0.9993) X 300 + 0.15$

$w_{1} = 299.94$

Step(ii):-

Put n =2

$w_{2} = (0.9993) w _{2-1} + 0.15$

$w_{2} = (0.9993) w _{1} + 0.15$

$w_{2} = (0.9993) X (299.94) + 0.15$

$w_{2} = 299.8800$

Conclusion:-

The amount of water in the reservoir at the beginning of second week

$w_{2} = 299.8800$