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$)$: $$130,000$

Large capital mutual fund $($LC$)$: $$103,000$

Small capital mutual fund $($SC$)$: $$71,000$

Real estate trust fund $($RE$)$: $$86,000$

Rachel and Richard believe they need at least $$1,700,000$ to retire. The money market account grows at $2\mathrm{.}5\%$ annually, the government bond mutual fund grows at $5\mathrm{.}5\%$

annually, the large capital mutual fund grows at $9\mathrm{.}5\%$ annually, the small capital mutual fund grows at $12\mathrm{.}5\%$ annually, and the real estate trust fund grows at $5\mathrm{.}0\%$ 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 $$1,700,000$ goal?

Rachel and Richard will need to invest their accounts for

or more years to reach $$1,700,000.($Round to the nearest whole number.$)$