A recently graduated mechanical engineer wants to build a reserve fund as a safety net to pay his expenses in the unlikely event that an unexpected emergency arises. His aim is to have $45,000 developed over the next 3 years, with the proviso that the amount must have the same purchasing power as $45,000 today. If the expected market rate on investments is 3% per year and inflation is averaging 2% per year, find the annual amount necessary to meet his goal