$[-/1$ Points$]$

TANAPCALCBR$103\mathrm{.}1\mathrm{.}062.$ enormously in the future. The study predicted that spending on Medicare, as a percentage of the gross domestic product $($GDP$),$ will be

$P(t)=0\mathrm{.}27t^2+1\mathrm{.}4t+2\mathrm{.}2,(0t5)$

percent in year $t,$ where $t$ is measured in decades, with $t=0$ corresponding to $2000.$t $($Round your answers to two decimal places.$)$

$($a$)$ How fast was the spending on Medicare, as a percentage of the GDP$,$ growing in $2030?$

$\%/$decade

How fast will it be growing in $2050?$

$\%/$decade

$($b$)$ What was the predicted spending on Medicare in $2030?$

$\%$

What will it be in $2050?$

$\%$

Need Help? $$