The functions f(x) and g(x) in the table below show kim's and ben's savings respectively, in dollars, after x days. some values are missing in the table. which statement best describes kim and ben's savings in the long run?

Kim will save more than Ben.

Step-by-step explanation:

Wouldn't that be the answer. Just because Ben started out with bigger values does not mean that he will have numbers greater than Kim. Kim: 3,9,27 Ben:8,11,14. 27 is bigger than 14.

Kim will save more than Ben

Step-by-step explanation:

AS you can see in the table, you have two functions into each one of them in their savings, Jim has the n^x function and Ben has the 3x+5 function, this means that Ben´s savings function is a liner funtion, and Kim´s Savings function is a exponential function, meaning that it will grow larger and faster than Bens function. So in the long run, Kim will save more than Ben.

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497