4.) The Ferris wheel at the landmark Navy Pier in Chicago takes 7 minutes to make one full rotation. The
height H in feet above the ground of one of the six-person gondolas can be modeled by:
H(t) = 70sin 2pi/7 (t - 1.75) + 80, where t is time in minutes. If you are loaded onto the gondola at 11 AM
how far off the ground will you be at 11:03?

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

Find the number of liters in 12.8 gal of gasoline. round to the nearest hundredths

What can each term of the equation be multiplied by to eliminate the fractions before solving? x – + 2x = + x 2 6 10 12