In the wake of the 2008 financial crisis, bank failures started spiraling upward. The number of bank failures peaked in 2010 at 1577. Thereafter, the number of bank failures bagn to fall sharply. The number of bank failures from 2010 through 2012 is described by the function f(t)= 157e-.55t                     (0≤t≤2) where t is measured in years, with t=0 corresponding to 2010. A) How fast was the number of bank failures dropping in 2011? B) If the trend continued, how many bank failures were there in 2013?

During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?

If xis large, which function grows faster, f(x)=2x or g(x)=x2?

Find the slope ofthe line in Figure l.

Does Table 2 represent a linear function? If so, finda linear equation that models the data.

Explain the meaning of G(4,3,2) and calculate its value.

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

If the order is reversed when composing two functions, can the result ever be the same as the answer in the original order of the composition? If yes, give an example. If no, explain why not.

BEAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If the number of units sold N, as a function of time, t, in years, can be represented by N(t) = 100(e-³ - e"), what was the highest number of chargers sold in a day?

D) y= 2(x+ 1) Consider that 85(1.7)* models the number of pet toys patented at the end of x years since 2002. Which statement is the best interpretation of one of the values in this function? A) The number of patents granted for pet products increases by 85 each year. B) The number of patents granted for pet products increases by 7% each year. C) The number of patents for pet products in 2002 was 85. D) The first patent for a pet product was granted 85 years ago. A Lab worker monitors the growth of a bacteria colony starting at 9:00 a.m. At that time, there are 10