rroDiem $5-15$ CaIculat$$ng Kates or Keturn $[$LUS$]$

A coin sold at auction in $2019$ for $$6,788,000.$ The coin had a face value of $$5$ when it was issued in $1790$ and had been previously sold for $$280,000$ in $1967.$

a$.$ At what annual rate did the coin appreciate from its first minting to the $1967$ sale? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What annual rate did the $1967$ buyer earn on his purchase? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$.$ At what annual rate did the coin appreciate from its first minting to the $2019$ sale?

$($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

Answer is complete but not entirely correct.

$\backslash$table$[[$a$.$ Rate of return from $1790$ to $1967,9\mathrm{.}14$ X$,\%$