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$)$: $$38,000$

Government bond mutual fund $($GB$)$: $$145,000$

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

Small capital mutual fund $($SC$)$: $$75,000$

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

Rachel and Richard believe they need at least $$2,400,000$ to retire. The money market account grows at $3\mathrm{.}5\%$ annually, the government bond mutual fund grows at $5\mathrm{.}5\%$ annually, the large

capital mutual fund grows at $9\mathrm{.}0\%$ annually, the small capital mutual fund grows at $13\mathrm{.}5\%$ 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?