In 1975, the value of the index was set at 1000. since then, the value can be modelled as i=1000(2)^n/10.7, where n is number of years since 1975. on average, what is the 'doubling time'?

The doubling time is 10.7 years after 1975 i.e. on 1986.

Step-by-step explanation:

In 1975, the value of the index was set at 1000. Since then, the value can be modeled as  

............. (1)

where n is number of years since 1975.

Now, we asked to calculate the doubling time of the index.

So,

⇒

⇒ 0.0934n = 1

⇒ n = 10.7 years  

Therefore, the doubling time is 10.7 years after 1975 i.e. on 1986. (Answer)

step-by-step explanation: