A newly elected government decides to reduce pollution in major cities by investing in a green spaces project. The subsequent investment flow is given by

I(t) = 0.6t ² + 10

where t is measured in years from the start of the government term and I is measured in millions of dollars per year. Five years later, as a result of a change of administration, planned investment is dramatically reduced so that for the following five years, investment flow J(t) is given by

J(t) = 25e^0.4(5−t) for 5 ≤ t ≤ 10

(a) Verify that I(5) = J(5) and sketch a graph of the investment flow for the complete 10-year period.

(b) After how many years does the total capital spent on this project first exceed $110 million? Give your answer to one decimal place.