Agroup of friends decided to divide the $800 cost of a trip equally among themselves. when two of the friends decided not to go on the trip, those remaining still divided the $800 cost equally, but each friendâs share of the cost increased by $20. how many friends were in the group originally?

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

Journalize the following transactions that occurred in september 2015 for aquamarines. no explanations are needed. identify each accounts payable and accounts receivable with the vendor or customer name. sep. 3 purchased merchandise inventory on account from shallin wholesalers, $5,000. terms 1/15, n/eom, fob shipping point. 4 paid freight bill of $80 on september 3 purchase. 4 purchased merchandise inventory for cash of $1,700. 6 returned $500 of inventory from september 3 purchase. 8 sold merchandise inventory to hermosa company, $6,000, on account. terms 2/15, n/35. cost of goods, $2,640. 9 purchased merchandise inventory on account from thomas wholesalers, $8,000. terms 2/10, n/30, fob destination. 10 made payment to shallin wholesalers for goods purchased on september 3, less return and discount. 12 received payment from hermosa company, less discount. 13 after negotiations, received a $200 allowance from thomas wholesalers. 15 sold merchandise inventory to jordan company, $2,500, on account. terms 1/10, n/eom. cost of goods, $1,050. 22 made payment, less allowance, to thomas wholesalers for goods purchased on september 9. 23 jordan company returned $400 of the merchandise sold on september 15. cost of goods, $160. 25 sold merchandise inventory to smithsons for $1,100 on account that cost $400. terms of 2/10, n/30 were offered, fob shipping point. as a courtesy to smithsons, $75 of freight was added to the invoice for which cash was paid by aquamarines. 26 after negotiations, granted a $100 allowance to smithsons for merchandise purchased on september 25. 29 received payment from smithsons, less allowance and discount. 30 received payment from jordan company, less return.

Universal containers(us) has an integration with its accounting system that creates tens of thousands of orders inside salesforce in a nightly batch. us wants to add automation that can attempt to match leads and contacts to these orders using the email address field on the insert. us is concerned about the performance of the automation with a large data volume. which tool should uc use to automate this process?