Alocal museum charges $25 per adult and $12 per child for admission fees. at the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests. the system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y. 12x+25y=9014 x+y=450 first, place a point on the graph representing the solution to the system of equations. notice that one of the equations in the system has already been graphed. then, determine the approximate number of guests that were children and the approximate number of guests that were adults for that day.

The number of potato chips in a bag is normally distributed with a mean of 71 and a standard deviation of 2. approximately what percent of bags contain between 69 and 73 potato chips? approximately 68% approximately 71% approximately 95% approximately 99.7%

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

Haley buys 9 pounds of apples for $3. how many pounds of apples can she buy for $1?