Waupaca Company establishes a $320 petty cash fund on September 9. On September 30, the fund shows $89 in cash along with receipts for the following expenditures: transportation-in, $40; postage expenses, $64; and miscellaneous expenses, $115. The petty cashier could not account for a $12 shortage in the fund. The company uses the perpetual system in accounting for merchandise inventory. Prepare (1) the September 9 entry to establish the fund, (2) the September 30 entry to reimburse the fund, and (3) an October 1 entry to increase the fund to $360.

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

The 39 percent and 38 percent tax rates both represent what is called a tax "bubble." suppose the government wanted to lower the upper threshold of the 39 percent marginal tax bracket from $335,000 to $208,000. what would the new 39 percent bubble rate have to be? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.