Find the consumers' surplus at a price level of $5 for the price-supply equation p = D(x) = .02x + 10 where x is the quantity supplied at a unit price of $p. $890 $0 $420 O $625 O $1250

In a given year, the U.S. federal income tax owed by a married couple filing jointly can be found from the following table. Married Filing Jointly Taxable Income $0-$18,550 T(x) = $18,551-$75,300 $75,301-$151,900 amount over $75,300 $413,351-$466,950 Tax Rate 10% $1,855 plus 15% of the amount over $18,550 $10,367.50 plus 25% of the $151,901-$231,450 amount over $151,900 $466,951 or more if $29,517.50 plus 28% of the $231,451-$413,350 amount over $231,450 $51,791.50 plus 33% of the $130,578.50 plus 39.6% of the amount over $466,950 (a) For incomes up to $151,900, write the piecewise defined function T with input x that models the federal tax dollars due as a function of x, the taxable income dollars earned. $111,818.50 plus 35% of the amount over $413,350 0 < x≤ 18,550 if 18,550 < x≤ 75,300 if 75,300 < x≤ 151,900 (b) Use the function to find T(40,000). $ (c) Find the tax due on a taxable inco of $90,000. $ (d) A friend tells Jack Waddell not to earn any money over $75,300 because it…

The Country Fields Retirement Community ch $6000/month for a single senior citizen to resi an efficiency apartment with assisted living The facility has operating expenses of $600,00 month. Staffing levels are dependent on the n of residents. Each senior who enters the comm requires additional food, personal care, and s staff time. The estimated cost for each pers $4000 per person per month. (a) How many senior citizen residents does the ity need to have in order to reach the break point? (b) What is the company's annual profit or in they maintain an average residency level senior citizens?

2.  You bought a new computer for $2,500.  Four years later, your computer is valued at $1,250. a.  Assume that the cost function will be linear and write a linear function to describe the cost of the computer ?t years after you bought it. b.  Assume that the cost function will be exponential (think of exponential decay) and write an exponential function to describe the cost of the computer ?t years after you bought it. c.  For each function you just wrote, find the rate at which the cost is depreciating 3 years after you bought it. d.  Which function do you think would be more accurate?  Write a complete sentence or two describing why you think so.