Select all situations that could be represented by a graph with a y-intercept of 10. A. CityCable TV has a sign-up fee of $10 and a monthly charge of $19.99 where y represents the cost, in dollars, for using CityCable TV after x months.

B. Lily starts with $10 in her savings account and adds $20 to it each month where y represents the amount, in dollars, in Lily's account after x months.

C .Leon is running at 10 miles per hour where y represents the distance, in miles, Leon runs after x minutes.

D. Patty is playing a video game and scores 10 points for each level she completes where y represents the number of pointsPatty scores after x levels.

E. A tank begins with 10 gallons of water and is leaking at a rate of a gallon per minute where y represents the amount of
water, in gallons, in the tank after x minutes.

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

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

Convert the mixed numbers into improper fractions. convert the improper fraction to mixed numbers.