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Policymakers are provided data about the private and social benefits of a good being sold in the market. quantity private mb ($) social mb ($) 6 6 9 7 4 7 8 2 5 9 0 3 what is the size of the externality? if the externality is positive, enter a positive number. if negative, make it a negative number. $ given this data, policymakers must decide whether to address the associated externality with a subsidy or a tax. as their economic consultant, which of the two policy tools would you recommend? a subsidy a tax

Bonds often pay a coupon twice a year. for the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. using the values of cash flows and number of periods, the valuation model is adjusted accordingly. assume that a $1,000,000 par value, semiannual coupon us treasury note with three years to maturity has a coupon rate of 3%. the yield to maturity (ytm) of the bond is 7.70%. using this information and ignoring the other costs involved, calculate the value of the treasury note:

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.