Janice had a relative pass away when she was young, and she received an inheritance in the form of a trust fund that was established on her $8$ th birthday. The trust fund earns $5\mathrm{.}50\%$ interest compounded annually. The trust stipulates that Janice cannot access the funds until her $30$ th birthday, and on that day the balance in the trust was $$98,654\mathrm{.}34.$

The amount of money that Janice's relative originally put into the trust fund is:

$($to nearest $$0\mathrm{.}01)$

When Janice turned $30,$ she decided not to touch the trust, and instead use it to save for her $($future$)$ children's higher education. Assuming the account continues to earn the same rate of return, what will be her account balance $20$ years later $($i$.$e$.,$ when she turns $50$ years old$)?$

$($to nearest $$0\mathrm{.}01)$

Instead of the balance that you calculated for #$2,$ assume Janice's trust fund balance on her the account have earned between her $30$th & $50$th birthdays? $($The account balance was still $$98,654\mathrm{.}34$ at age $30.)$

$($to nearest $0\mathrm{.}001\%)$

Suppose instead of waiting until her $50$th birthday, Janice decides to leave her trust fund untouched until it has a balance of $$750,000.$ Assuming she continues to earn $5\mathrm{.}50\%,$ how many years $($after her $30$th birthday$)$ will she have to wait to achieve this account balance?

$($to nearest $0\mathrm{.}01$ year$)$