You decide you want to retire in $30$ years. You decide to invest $$5000$ at the end of each year

in a fund earning $8\%$ a year over the next $30$ years. How much money will you have at the end of

the $30$ years? Now assume each payment will be increased by $5\%$ a year, e$.$g$.$ the first payment

will actually be $$5250,$ the next payment $$5,512\mathrm{.}50,$ and so on$.$ How much money will you have

for retirement at the end of the $30$ years?You decide you want to retire in $30$ years. You decide to invest $$5000$ at the end of each year

in a fund earning $8\%$ a year over the next $30$ years. How much money will you have at the end of

the $30$ years? Now assume each payment will be increased by $5\%$ a year, e$.$g$.$ the first payment

will actually be $$5250,$ the next payment $$5,512\mathrm{.}50,$ and so on$.$ How much money will you have

for retirement at the end of the $30$ years?