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 $$210.$ In $2019,$ the winner's check was $$1,410,000.$

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 $2037?($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

Answer is complete but not entirely correct.

$\backslash$table$[[$a$.$ Increase per year,,$7\mathrm{.}57x,],[$b$.$ Winners prize in $2037,$$$,7,284,21476x,]]$

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