The operations of Knickers Corporation are divided into the Pacers division and the Bulls division. Projections for the next year are as follows:

Pacers Bulls
Division Division Total
Sales revenue $420,000 $252,000 $672,000
Variable expenses 147,000 115,500 262,500
Contribution margin $273,000 $136,500 $409,500
Direct fixed expenses 126,000 105,000 231,000
Segment margin $147,000 $ 31,500 $178,500
Allocated common costs 63,000 47,250 110,250
Total relevant benefit (loss) $ 84,000 $(15,750) $ 68,250

Operating income for Knickers Corporation as a whole if the Bulls division were dropped would be:

Which of the following would represent the sum of 3 consecutive integers if x is the first integer?

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

The square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base