During a 7-year period, the amounts (in millions of dollars) spent each year on buying new vehicles N and used vehicles U by United States residents are modeled by the equations
N=−0.028t3+0.06t2+0.1t+17
U=−0.38t2+1.5t+42
where t=1 represents the first year in the 7-year period.
a. Write a polynomial that represents the total amount spent each year on buying new and used vehicles in the 7-year period.
b. How much is spent on buying new and used vehicles in the fifth year?