(5) Matt inherited as a trust a fifteen-year annuity-immediate with annual payments. He has been told that the annuity payments earn compound interest at a level rate and that at the end of fifteen years, their accumulated value will be $37,804.39. He has further been assured that figured at this same rate of interest, the value of his inheritance was $15,077.10. The trust executor will not reveal the amount of the annual payments. Determine this amount and also the annual effective interest rate earned by the annuity payments.

1. all other things equal, according to the law of demand, when the price of a good falls, the demand for the good falls the demand for the good rises the quantity demanded of the good falls the quantity demanded of the good rises 2. when a market is in equilibrium, the quantity of the good that buyers are willing and able to buy exactly equals the quantity that sellers are willing and able to sell cannot be determined is less than the quantity that sellers are willing and able to sell is greater than the quantity that sellers are willing and able to sell 3. which of the following factors does not influence the demand for a good or service? consumer (buyer) income the price of related goods the number of sellers buyer expectations 4. when the number of sellers in a market increases, demand rises supply rises the price rises, all else equal the number of buyers falls

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.

In early january, burger mania acquired 100% of the common stock of the crispy taco restaurant chain. the purchase price allocation included the following items: $4 million, patent; $3 million, trademark considered to have an indefinite useful life; and $5 million, goodwill. burger mania's policy is to amortize intangible assets with finite useful lives using the straight-line method, no residual value, and a five-year service life. what is the total amount of amortization expense that would appear in burger mania's income statement for the first year ended december 31 related to these items?