Respuesta :
Given that
The population of a certain city is 1.50 million initially and it gets increased by 6.5% exponentially. And we have to find the number of years in which the population becomes 2.31 million.
Explanation -
The formula for the exponential growth is given as
[tex]\begin{gathered} f(x)=a(1+r)^x \\ where\text{ f\lparen x\rparen is the final amount, a = initial amount, r = rate and x = time period} \end{gathered}[/tex]Here we have f(x) = 2.31 million, a = 1.50 million , r = 6.5% and x = ?
So let the time be t.
Then, on substituting the values we have
