Emily Dorsey's current salary is $74,000 per year, and she is planning to retire 27 years from now. She anticipates that her annual salary will increase by $2000 each year ( $74000 first year, $76000 second year...) and she plans to deposit 10% of her yearly salary into a requirement fund that earns 4% interest compounded daily. What will be the amount of interest accumulated at the time of Emily's retirement? Assume 365 days per year.
Please show formulas used for each part.