A person purchased a new car for $26,200 and finencad the entire amount Suppose that the person can onty aftord to pay $200 per month. Assume that the paymants are mada at a continucus anrual rate and that interest is compouncied contihucusly at the rata of 85. (al Set up a cifferential equalion that is satielled by the amount ti of money owed on the car loan at üme L (b) Haw long wil it take to pay of the car loan? (A) Lat y=tj wnara tis the number of yaars ahar the car is purchased. Set up a cifferential aquation that is satishad by the amount ttj of monay oAVed on tha car koan at tima t y' - 200 0.08y). y(0) - 2500. ak - 2500 (bị It wll sakayaars o pay off the car ban. (Round lo the neareet hundredih as needed.)

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