A new engineering faculty member begins working on her 28^th birthday at an annual salary of $90,000. This is expected to rise by an average of 2.5% per year. She contributes 12% of her salary into a retirement plan that earns an interest of 3.5% per year compounded annually.

• Estimate the accumulated amount into this plan at retirement on her 65^th birthday.
• Estimate the uniform annuity (i.e., annual salary) she can afford drawing from this account at retirement starting in her 66^th birthday and ending in her 86^th birthday.