Tara invests $$2,500$ today and another $$1,500$ a year from now. Her investments starting

year $2$ keeps increasing by $$100$ every year for the next $10$ years from today. She stops investing

from year $11$ until year $20.$ If she earns a rate of return of $7\%$ on her investments, determine

future worth of her investments $20$ years from now?