$(15$ points$)$ Another retirement. Suppose Emma's current salary is $$72,000$ per year, and she is planning

to retire $25$ years from now. She anticipates that her annual salary will increase by $$1800$ each year.

$($That is$,$ in the first year she will earn $$72,000,$ in the second year $$73,800,$ in the third year $$75,600,$

and so forth.$)$ At the end of each of the next $25$ years, she plans to deposit $10\%$ of her salary from

that year into a retirement fund that earns $6\%$ interest compounded daily. How much money will be

in her account at the time of her retirement? Draw a cash flow diagram for this problem.