The consumption rate of electricity, in kw/h has increased, on average, at 3.5% per year. if it continues to increase at this rate indefinitely, find the number of years before the electric companies will need to double their generating capacity.

the electric utities will need to double their generating capacity in about years.

20.14

Step-by-step explanation:

Given that the consumption rate of electricity, in kW/h has increased, on average, at 3.5% per year.

So if initial consumption is C after one year it would be

and after 2 years

and so on

In general after n years

When C(n) is twice C we have

Between 20 and 21 years

Hence The electric utities will need to double their generating capacity in about ___20.14__ years.

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

look at photo