A home uses 8 gallons of oil each day for heat. If it’s oil shots he tank is filled to 275 gallons, the function y=275-8x represents the number of gallons remaining in the tank after x days of use. Explain what the x intercept represents. Then determine when the tank will be half full

Suppose the radius of a circle is 16. what issuppose the radius of a circle is 16. what is its circumference its circumference

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

Which shows the correct solution of the equation 1/2a+2/3b=50, when b=30?