Zhou owns a nonrental business with two separate departments. Department A generates net income of $83,200, and Department B generates a net loss of $66,560. Zhou participates 800 hours in the operations of Department A and 300 hours in the operations of Department B. If Zhou is allowed to treat the departments as components of a single activity, calculate the amount of the Department B loss that can be offset against the income from Department A in the current year.

The 39 percent and 38 percent tax rates both represent what is called a tax "bubble." suppose the government wanted to lower the upper threshold of the 39 percent marginal tax bracket from $335,000 to $208,000. what would the new 39 percent bubble rate have to be? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places,e.g., 32.16.)

Jamie is saving for a trip to europe. she has an existing savings account that earns 3 percent annual interest and has a current balance of $4,200. jamie doesn’t want to use her current savings for vacation, so she decides to borrow the $1,600 she needs for travel expenses. she will repay the loan in exactly one year. the annual interest rate is 6 percent. a. if jamie were to withdraw the $1,600 from her savings account to finance the trip, how much interest would she forgo? .b. if jamie borrows the $1,600 how much will she pay in interest? c. how much does the trip cost her if she borrows rather than dip into her savings?

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.