HY Industries Ltd. plans to replace a warehouse in eleven years at an anticipated cost of ​$55,000. To pay for the​ replacement, a sinking fund has been established into which equal payments are made at the end of every quarter. Interest is 7.5​% quarterly.   ​(a) What is the size of the periodic​ payment? ​(b) What is the accumulated balance just after the 32th ​payment?

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