Antoine went on vacation to las vegas. his room cost $115.62 each night. his flight there cost $45.70 and his flight home was $32.49. he averaged $15.00 per day on food. on the first day antoine won $75.00 and on the last day he lost $25.00. if he stayed for 3 nights and 4 days, how much did the entire trip (including airfare, food, hotel, and winnings) cost him?

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

Tiffany drives 285,120 feet before lunch and 628,320 feet after lunch. about how many kilometers does she drive all together

Which of the following circles have their centers on the x-axis? check all that apply.