t$.$i$.$ invests $$2,800$ today and another $$1,500$ a year from now. Her investments starting year $2$ keeps increasing by $$150$ every year for the next $10$ years from today. The deposit at the end of year $2$ is $$1,650.$ She stops investing from year $11$ until year $20.$ If she earns a rate of return of $8\mathrm{.}1\%$ on her investments, determine the future worth of her investments $20$ years from now.