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The volume of a spherical hot air balloon v(r) = 4 3 ? r3 changes as its radius changes. the radius is a function of time given by r(t) = 3t. find the instantaneous rate of change of the volume with respect to t at t = 2.

After college gerald wants to take a graduation trip to china. he wants to save $4,000 for his trip in four years. about how much does gerald have to save each month if his savings earns 7% interest compounded monthly?

Click on the picture to look at some equivalent fractions. look at them closely. can you see a relationship of any kind between the two fractions in each pair? write what you notice below.