A loan of 40,000 is being repaid by a 30-year increasing annuity-immediate. The initial payment is k, and each subsequent payment is k larger than the preceding payment. Determine the principal outstanding immediately after the ninth payment, using an annual effective interest rate of 4 percent.

At the end of the week, carla receives her paycheck and goes directly to the bank after work to make a deposit into her savings account. the bank keeps the required reserve and then loans out the remaining balance to a qualified borrower named malik as a portion of his small business loan. malik uses the loan to buy a tractor for his construction business and makes small monthly payments to the bank to payback the principal balance plus interest on the loan. the bank profits from a portion of the interest payment received and also passes some of the interest back to carla in the form of an interest payment to her savings account. in this example, the bank is acting

You are the manager of the packaging department in a cookie factory. (obviously, the packaging employees cannot eat the cookies that are transferred in during the period.) after your employees insert cookies into colorful packages (step 1) for display on store shelves, the packages of cookies are then boxed using cardboard cartons (step 2) for shipment to stores. each unit of product is represented by a carton of packaged cookies. the packaging department began the period with 1,000 units of cookies. during the period, 5,000 units of cookies were transferred in from the baking department and 5,500 units of cookies were transferred out to the finished goods department. the number of units of cookies in the ending inventory of the packaging department equals:

Thomas kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. thomas's fastest-moving inventory item has a demand of 6,000 units per year. the cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. the average ordering cost is $30 per order. it takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (this is a corporate operation, and the are 250 working days per year.)a) what is the eoq? b) what is the average inventory if the eoq is used? c) what is the optimal number of orders per year? d) what is the optimal number of days in between any two orders? e) what is the annual cost of ordering and holding inventory? f) what is the total annual inventory cost, including cost of the 6,000 units?