Jami is trying to model the movement of a tire. in order to properly model the movement, she is going to focus on the movement of the tire's air nozzle. the nozzle is on the right side of the tire and she is going to treat that position as the equilibrium position. she then slowly rotates the tire so that the nozzle goes up at the beginning of the rotation, and follows its change in height. the distance of the nozzle from the center of rotation is nine inches. she finds that it takes eight seconds for the tire to make a single revolution. which of the following functions best models the position of the nozzle? a. s(t)=9sin(4pi t) b. s(t)=9sin(pi/4 t) c. s(t)=9cos(4pi t) d. s(t)=9cos(pi/4 t)

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

Erin bought christmas cards for $2 each to send to her family and friends. which variable is the dependent variable?

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