Waterway Engineering Corporation purchased conveyor equipment with a list price of $$9,000.$ Presented below are three independent cases related to the equipment.

a$.$ Waterway paid cash for the equipment $8$ days after the purchase. The vendor's credit terms are $\frac{2}{10},\frac{n}{30}.$ Assume that equipment purchases are initially recorded gross.

b$.$ Waterway traded in equipment with a book value of $$1,900($initial cost $$8,400),$ and paid $$10,100$ in cash one month after the purchase. The old equipment could have been sold for $$400$ at the date of trade. $($The exchange has commercial substance.$)$

c$.$ Waterway gave the vendor a $$11,500$ zero$-$interest$-$bearing note for the equipment on the date of purchase. The note was due in one year and was paid on time. Assume that the effective$-$interest rate in the market was $9\%.$

Prepare the general journal entries required to record the acquisition and payment in each of the independent cases above. $($Round present value factor calculations to $5$ decimal places, e$.1\mathrm{.}25124$ and final answers to $0$ decimal places, eg$.5,275.$ Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select $"$No Entry" for the account titles and enter $0$ for the amounts. List all debit entries before credit entries.$)$