The U$.$S$.$ real GDP per capita is $10,000$ In the year $1900($beginning$).$

a$.$ Suppose the annual growth rate of real GDP per capita $(r)$ is$\mathrm{.}02.$ Use the following formula to calculatc the real CDP per capita for the U$.$S$.$ in $1960($end$)$:

$GDP=GDP$ Beginning $(1+r{)}^N$

Where $r$ is growth rate of real GDP and $N$ is the number of years.

b$.$ Now calculate the level of the real GDP and $N$ is the number of years when $r=\mathrm{.}03.$

c$.$ How much nigher is real GDP per capita when $r=\mathrm{.}03$ relative to when $r=\mathrm{.}02($ratio of percentage terMs$)?$