The Population of a Certain Country Was $2,345,235$ In $1985$ And $3,458,377$ In $1995 .$

Essay

The population of a certain country was $2,345,235$ in $1985$ and $3,458,377$ in $1995 .$ Assume that the growth is exponential.
(a) Find a formula for the population $t$ years after $1985 .$
(b) Find the time required for the population to double.
(c) Use the data to predict the population in the year $2005 .$