Jason keeps a record of his transactions in a notebook. Looking over his records for the past two weeks, Jason finds that his bank statement does not match his notebook, and he actually has less money than he thought he did. These are the relevant entries in Jasonโs notebook:Transaction Debit ($) Credit ($) Beginning Balance.578.65 Rent 275.60 --- Paycheck --- 363.20 Charitable donation 20.00 --- Keyboard 63.29 --- Refund on purchase --- 21.19 Groceries 44.08 --- Microwave 68.74 --- Ending Balance 491.33However, Jasonโs bank statement says that his ending balance is $473.33. Which of the following is a possible explanation for the discrepancy?a. Jason actually made two $20 charitable donations but forgot to write one of them down. b. Jason listed the refund as a credit, but it should be a debit. c. Jason listed the groceries out of habit, but he did not actually purchase them this week. d. Jason transposed the digits on the microwaveโs price, which actually cost $86.74.

The treasurer for pittsburgh iron works wishes to use financial futures to hedge her interest rate exposure. she will sell five treasury futures contracts at $139,000 per contract. it is july and the contracts must be closed out in december of this year. long-term interest rates are currently 7.30 percent. if they increase to 9.50 percent, assume the value of the contracts will go down by 20 percent. also if interest rates do increase by 2.2 percent, assume the firm will have additional interest expense on its business loans and other commitments of $149,000. this expense, of course, will be separate from the futures contracts. a. what will be the profit or loss on the futures contract if interest rates increase to 9.50 percent by december when the contract is closed out

You are a manager at asda. you have been given the demand data for the past 10 weeks for swim rings for children. you decide to run multiple types of forecasting methods on the data to see which gives you the best forecast. if you were to use exponential smoothing with alpha =.8, what would be your forecast for week 22? (the forecast for week 21 was 1277.) week demand 12 1317 13 1307 14 1261 15 1258 16 1267 17 1256 18 1268 19 1277 20 1277 21 1297

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?