In order to replace a machine in the future, a firm plans to deposit 10 equal amounts into a fund at yearly intervals so that the amount in the fund will be $30,000 when the 10^th (last) deposit is made. Initially the fund earns 8% per annum compounded annually, however after 4 years the interest rate unexpectedly increases to 9% per annum compounded annually. If the firm reduces its annual deposit to take account of the higher interest rate, what will be the new annual payment for the last 6 years