In $1895,$ the first U$.$S$.$ Open Golf Championship was held. The winner's prize money was

$$210.$ In $2019,$ the winner's check was $$1,470,000.$

a$.$ What was the percentage increase per year in the winner's check over this period?

$($Do not round intermediate calculations and enter your answer as a percent

rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ If the winner's prize increases at the same rate, what will it be in $2045?($Do not

round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,$

$32\mathrm{.}16.)$In $1895,$ the first U$.$S$.$ Open Golf Championship was held. The winner$$s prize money was $$210.$ In $2019,$ the winner$$s check was $$1,470,000.$

a$.$

What was the percentage increase per year in the winner$$s check over this period? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ If the winner$$s prize increases at the same rate, what will it be in $2045?($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$