With U$.$S$.$ Department of Health and Human Services data from $2002$ and projected to $2024,$ the total public expenditures for health care H can be modeled by

H $=1,500$e$0\mathrm{.}053$t

where t is the number of years past $2000$ and H is in billions of dollars. If this model is accurate, at what rate $($in billions of dollars per year$)$ will health care expenditures change in $2021?($Round your answer to one decimal place.$)$

$

billion$/$year