If the Federal Reserve lowers the target federal funds rate, a. liquidity in the banking system is increased
b. the discount rate rises
c. securities prices fall
d. required reserves are decreased

Ming chen began a professional practice on june 1 and plans to prepare financial statements at the end of each month. during june, ming chen (the owner) completed these transactions. a. owner invested $61,000 cash in the company along with equipment that had a $25,000 market value. b. the company paid $1,900 cash for rent of office space for the month. c. the company purchased $15,000 of additional equipment on credit (payment due within 30 days). d. the company completed work for a client and immediately collected the $2,100 cash earned. e. the company completed work for a client and sent a bill for $7,000 to be received within 30 days. f. the company purchased additional equipment for $5,500 cash. g. the company paid an assistant $3,000 cash as wages for the month. h. the company collected $5,200 cash as a partial payment for the amount owed by the client in transaction e. i. the company paid $15,000 cash to settle the liability created in transaction c. j. owner withdrew $1,500 cash from the company for personal use. required: enter the impact of each transaction on individual items of the accounting equation. (enter decreases to account balances with a minus sign.)

During january 2018, the following transactions occur: january 1 purchase equipment for $20,600. the company estimates a residual value of $2,600 and a five-year service life. january 4 pay cash on accounts payable, $10,600. january 8 purchase additional inventory on account, $93,900. january 15 receive cash on accounts receivable, $23,100 january 19 pay cash for salaries, $30,900. january 28 pay cash for january utilities, $17,600. january 30 firework sales for january total $231,000. all of these sales are on account. the cost of the units sold is $120,500. the following information is available on january 31, 2018. depreciation on the equipment for the month of january is calculated using the straight-line method. the company estimates future uncollectible accounts. at the end of january, considering the total ending balance of the accounts receivable account as shown on the general ledger tab, $4,100 is now past due (older than 90 days), while the remainder of the balance is current (less than 90 days old). the company estimates that 50% of the past due balance will be uncollectible and only 3% of the current balance will become uncollectible. record the estimated bad debt expense. accrued interest revenue on notes receivable for january. unpaid salaries at the end of january are $33,700. accrued income taxes at the end of january are $10,100

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.