Question $5$

You would like your child who was born today to be a millionaire eventually. To that end, you deposit $$9,000$ in an investment account that earns an average annual rate of return of $10\mathrm{.}5\%.$ The money in the account will be distributed to your son whenever the total reaches $$1,000,000.$ How old will your son be when he gets the money $($rounded to the nearest year$)?$

$47$ years

$48$ years

$46$ years

$49$ years.