An online shopping club has 11,200 members when it charges $7 per month for membership. For each $1 monthly increase in membership fee, the club loses approximately 400 of its existing members. Write and simplify a function R
to represent the monthly revenue received by the club when x represents the price increase.
Hint: Monthly revenue = # members. monthly fee.

Given the statements, "a square root of 16 is 4," and "a square root of 9 is -3," complete the following blanks with the correct truth-values. p is and q is , so the statement, "a square root of 16 is 4 or a square root of 9 is -3" is .

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

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?