Future value of a portfolio. Rachel and Richard want to know when their current portfolio will be sufficient for them to retire. They have the following balances in

their portfolio:

Money market account $($MM$)$: $$35,000$

Government bond mutual fund $($GB$)$: $$155,000$

Large capital mutual fund $($LC$)$: $$108,000$

Small capital mutual fund $(SC)271,000$

Real estate trust fund $($RE$)$: $$87,000$

Rachel and Richard believe they need at least $$2,400,000$ to retire. The money market account grows at $2\mathrm{.}5\%$ annually, the government bond mutual fund grows at

$5\mathrm{.}0\%$ annually, the large capital mutual fund grows at $9\mathrm{.}0\%$ annually, the small capital mutual fund grows at $12\mathrm{.}5\%$ annually, and the real estate trust fund grows at

$4\mathrm{.}5\%$ annually. With the assumption that no more funds will be deposited into any of these accounts, how long will it be until they reach the $$2,400,000$ goal?

Rachel and Richard will need to invest their accounts for

or more years to reach $$2,400,000.($Round to the nearest whole number.$)$