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.
N(t) =

Estimate, to the nearest 0.1 million, the total number of housing starts from January 2006 through June 2009. (The actual number was around 4.9 million homes.)
million homes

The polygon tool to draw a rectangle with a length of 5 units and a height of 3 units. one of the sides of the rectangle falls on line ab , and the rectangle has a vertex of a. each segment on the grid represents 1 unit.

Anature center offer 2 guided walks. the morning walk is 2/3 miles. the evening walk is 3/6 mile. which is shorter

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.