A union contract guarantees an 8% salary increase each year for 3 years. For a current salary of $40,000, the salaries f(t) (in thousands of dollars) for the next 3 years are given by f(t) = { 40,000, 0 < t ≤ 1; 43,200, 1 < t ≤ 2; 46,656, 2 < t ≤ 3
where t represents the time in years. Show that the limit of f as t → 1 does not exist.
lim f(t) =
t→1−

lim f(t) =
t→1+

The perimeter of a rectangle is greater than or equal to 74 meters. if the length is 25 meters, the minimum width of the rectangle is meters.

Solve each quadratic equation by factoring and using the zero product property. 10x + 6 = -2x^2 -2

The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.