Consider the following data and then calculate the half-life for this particular isotope: Time Activity (cpm)
0 days 320,000
40 days 216,100
100 days 120,000
(A) 35.2 days.
(B) 75.6 days.
(C) 70.6 days.
(D) 62.9 days.
(E) None of these.

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

Alaska king crab fishing in the 1960s and '70s was a dangerous but rich fishery. boats from as far away as california and japan braved the treacherous gulf of alaska crossing to reach the abundant king crab beds in cook inlet and bristol bay. suddenly, in the early 1980s, the fishery crashed due to over fishing. all crabbing in those areas ended. to this day, there is no crabbing in bristol bay or cook inlet. a. how would an economist explain the decline of the alaska king crab fishery

Afirm plans to begin production of a new small appliance. the manager must decide whether to purchase the motors for the appliance from a vendor at $10 each or to produce them in-house. either of two processes could be used for in-house production; process a would have an annual fixed cost of $200,000 and a variable cost of $7 per unit, and process b would have an annual fixed cost of $175,000 and a variable cost of $8 per unit. determine the range of annual volume for which each of the alternatives would be best. (round your first answer to the nearest whole number. include the indifference value itself in this answer.)