The Great Recession of 2007–2009 is largely attributed to the real estate crisis beginning in 2006, from which time the number of housing starts was approximately n(t) = 2,400e−0.25t − 200 thousand homes per year (0 ≤ t ≤ 4), where t is time in years since January 2006.† Find an expression for the total number N(t) of housing starts in the United States from January 2006 to time t. HINT [Use the shortcuts.]