Jacoba is going to receive $$20,000$ today as a result of an insurance settlement. In addition, she will receive $$35,000$ four years from today and $$40,000$ ten years from today. She plans on saving all this money and investing it for her retirement. The yearly interest rate is $5\%,$ compounded annually. How much will she have in her account if she retires $30$ years from today?

$$316,874\mathrm{.}69$

$$317,019\mathrm{.}30$

$$317,878\mathrm{.}65$

$$95,000\mathrm{.}00$