$(2$ pts$)5.$ In $2008$ the population of Idaho was $2$ million and growing continuously at an annual rate of $4\mathrm{.}5\%.$ the population of Idaho in millions $t$ years after $2008$ can be modeled by $A(t)=2e^{0\mathrm{.}045t}.$ Estimate the population in $2012$ using your calculator. Show work.