On January 1, 2021, Tennessee Harvester Corporation issued debenture bonds that pay interest semiannually on June 30 and December 31. Portions of the bond amortization schedule appear below: Payment Cash Payment Effective Interest Increase in Balance Outstanding Balance 6,496,785 1 243,000 259,871 16,871 6,513,656 2 243,000 260,546 17,546 6,531,202 3 243,000 261,248 18,248 6,549,450 4 243,000 261,978 18,978 6,568,428 5 243,000 262,737 19,737 6,588,165 6 243,000 263,527 20,527 6,608,692 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 38 243,000 315,009 72,009 7,947,224 39 243,000 317,889 74,889 8,022,113 40 243,000 320,887 77,887 8,100,000 Required: 1. What is the face amount of the bonds

On january 1, 2017, fisher corporation purchased 40 percent (90,000 shares) of the common stock of bowden, inc. for $980,000 in cash and began to use the equity method for the investment. the price paid represented a $48,000 payment in excess of the book value of fisher's share of bowden's underlying net assets. fisher was willing to make this extra payment because of a recently developed patent held by bowden with a 15-year remaining life. all other assets were considered appropriately valued on bowden's books. bowden declares and pays a $90,000 cash dividend to its stockholders each year on september 15. bowden reported net income of $400,000 in 2017 and $348,000 in 2018. each income figure was earned evenly throughout its respective year. on july 1, 2018, fisher sold 10 percent (22,500 shares) of bowden's outstanding shares for $338,000 in cash. although it sold this interest, fisher maintained the ability to significantly influence bowden's decision-making process. prepare the journal entries for fisher for the years of 2017 and 2018. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your final answers to the nearest whole dollar.)

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.

1. alwaysrain irrigation, inc. would like to determine capacity requirements for the next four years. currently, two production lines are in place for making bronze and plastic sprinklers. three types of sprinklers are available in both bronze and plastic: 90-degree nozzle sprinklers, 180-degree nozzle sprinklers, and 360-degree nozzle sprinklers. management has forecast demand for the next four years as follows: both production lines can produce all the different types of nozzles. the bronze machines needed for the bronze sprinklers require two operators and can produce up to 12,000 sprinklers. the plastic injection molding machine needed for the plastic sprinklers requires four operators and can produce up to 200,000 sprinklers. three bronze machines and only one injection molding machine are available. what are the capacity requirements for the next four years? (assume that there is no learning.)