Answer:
The amount of water in the reservoir at the beginning of second week
[tex]w_{2} = 299.8800[/tex]
Step-by-step explanation:
Step(i):-
Given equation
w₀ = 300 and
[tex]w_{n} = (0.9993) w _{n-1} + 0.15[/tex]
Put n =1
[tex]w_{1} = (0.9993) w _{1-1} + 0.15[/tex]
[tex]w_{1} = (0.9993) w _{0} + 0.15[/tex]
[tex]w_{1} = (0.9993) X 300 + 0.15[/tex]
[tex]w_{1} = 299.94[/tex]
Step(ii):-
Put n =2
[tex]w_{2} = (0.9993) w _{2-1} + 0.15[/tex]
[tex]w_{2} = (0.9993) w _{1} + 0.15[/tex]
[tex]w_{2} = (0.9993) X (299.94) + 0.15[/tex]
[tex]w_{2} = 299.8800[/tex]
Conclusion:-
The amount of water in the reservoir at the beginning of second week
[tex]w_{2} = 299.8800[/tex]
