Question 266545
We start with the following:
(i) {{{P(t) = 5.495(1.016)^t}}}
we are given the population of 3 million. Since the population is in millions, we only use 3.
From (i) we get
(ii) {{{3 = 5.495(1.016)^t}}}
divide by 5.495 to get
(iii) {{{ 0.54595 = 1.016^t}}}
take a log of both sides to get
(iv) {{{-.26284644 = t*log(1.016)}}}
divide by log(1.016) to get
(v) {{{-38.128 = t}}}
so 1980 - 38 = 1942