Problem $5-13$ Calculating Interest Rates and Future Values $[$LO$1,3]$

In $1895,$ the first U$.$S$.$ Open Golf Championship was held. The winner's prize money was $$200.$ In $2019,$ the winner's check was $$1,480,000.$

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 $2046?($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[$a$.$ Increase per year,$7\mathrm{.}44,\%$