The Average out of pocket costs for beneficiaries in traditional Medicare (including Premiums, Cost Sharing, and Prescription drugs not covered by Medicare) is projected to grow at the rate of C'(t)=15t^2-120t+750 dollars/year where t is measured in 5 year intervals with t=0 corresponding to 2000. The out of pocket costs for beneficiaries in 2000 were $3000
(a)Find an expression giving the average out-of-pocket cost for beneficiaries
(b)What is the projected average out-of-pocket costs for beneficiaries in 2010