An economy is operating with output $300 billion below its natural level, and fiscal policymakers want to close this recessionary gap. The central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. The marginal propensity to consume is 3/4, and the price level is completely fixed in the short run. To close the recessionary gap, the government would need to

After the 2008 recession, the amount of reserves in the us banking system increased. because of federal reserve actions, required reserves increased from $44 billion to $60 billion. however, banks started holding more reserves than required. by january 2009, banks were holding $900 billion in excess reserves. the federal reserve started paying interest on the excess reserves that the banks held. what possible impact will these unused reserves have on the economy?

9. tax types: taxes are classified based on whether they are applied directly to income, called direct taxes, or to some other measurable performance characteristic of the firm, called indirect taxes. identify each of the following as a “direct tax,” an “indirect tax,” or something else: a. corporate income tax paid by a japanese subsidiary on its operating income b. royalties paid to saudi arabia for oil extracted and shipped to world markets c. interest received by a u.s. parent on bank deposits held in london d. interest received by a u.s. parent on a loan to a subsidiary in mexico e. principal repayment received by u.s. parent from belgium on a loan to a wholly owned subsidiary in belgium f. excise tax paid on cigarettes manufactured and sold within the united states g. property taxes paid on the corporate headquarters building in seattle h. a direct contribution to the international committee of the red cross for refugee relief i. deferred income tax, shown as a deduction on the u.s. parent’s consolidated income tax j. withholding taxes withheld by germany on dividends paid to a united kingdom parent corporation

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.