Sarah is changing her refuse (garbage) service. “Junk Bunker” charges a one time start-up fee of $300 plus $20 per month. “Junk in the Trunk” charges no start-up fee but charges $35 per month. Write an equation to determine when the two companies would cost the same.

What is the vertex form of f(x) = x2 + 6x + 3

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

Look at the chart showing the results of a baseball player at bat. which is the probability of getting a hit?