Question

I need help with this problem! Thank you!

Answer 1

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

`w_(2) = 299.8800`

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`