malachi, inc. has prepared its third quarter budget and provided the following data: jul aug sep cash collections $49,000 $39,900 $47,200 cash payments: purchases of direct materials 30,000 21,500 17,600 operating expenses 12,500 8,900 11,400 capital expenditures 13,100 24,500 0 the cash balance on june 30 is projected to be $4,600. the company has to maintain a minimum cash balance of $5,000 and is authorized to borrow at the end of each month to make up any shortfalls. it may borrow in increments of $5,000 and has to pay interest every month at an annual rate of 5%. all financing transactions are assumed to take place at the end of the month. the loan balance should be repaid in increments of $5,000 whenever there is surplus cash. calculate the final projected cash balance at the end of september.