According to a recent census, a certain country is becoming more dreerse. Based on the census population projections for $2000$ to $2050,$ the projected population of $($in millions$)$ can be modeled by the exponential function $f(t)=38\mathrm{.}15(1\mathrm{.}027{)}^{},$ where $t=0$ corresponds to $2000$ and $0150.$ Answer pars $($a$)$ through $($e$).$

a$)$ Find the projected population of minority $1$ for $2004$

The projected population of minonity $1$ is $$ million.

Type an integer or decimal rounded to two decimal places as needed$)$