Must show all work, steps and formulas to demonstrate understanding. Calculate the future values for Dawn and Dave$$s investments.

a$.$ Dawn invests $$2000$ each year of $10$ consecutive years, starting at age $25.$ Assume an $8\%$ annual rate of return with annual compounding. After age $35$ she no longer adds to the account, but the money continues to compound. What was Dawn$$s out$-$of$-$pocket amount? How much will Dawn have accumulated by age $65?$ Show all steps$/$work to justify your solution.

b$.$ Dave invests $$2000$ each year for $30$ consecutive years, starting at age $35.$ Assume the same $8\%$ annual rate of return with annual compounding. What was Dave$$s out$-$of$-$pocket amount? How much will Dave have accumulated by age $65?$ Show all steps$/$work to justify your solution.

c$.$ Who contributed the most out$-$of$-$pocket? Who made the most money? How much did Dave contribute? How much did Dawn make?