RuthAnn is 28 years old and is retiring at the age of 65. When she retires, she estimates that she will need an annual income of $32,523 for 30 years. If RuthAnn contributes 11% of her annual income to a 401(k) paying 7.1% compounded
annually, will she reach her goal for retirement given that her annual income is $36,278.13? If she does not make her goal
then state by what amount she will need to supplement her income. Round all answers to the nearest cent.
a. RuthAnn will meet her annual goal of exactly $32,523 for retirement.
b. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
C. RuthAnn will not make her annual goal of $32,523 and will need $1,039.85 to supplement her
yearly income when she retires.
d. RuthAnn will not make her annual goal of $32,523 and will need $10,395.80 to supplement her
yearly income when she retires.

5.(04.07) two different plants grow each year at different rates, which are represented by the functions f(x) = 4* and g(x) = 5x + 2. what is the first year the f(x) height is greater than the g(x) height? year 3 year 0 year 2 year 1

The first floor of marcus’ house is 1,440 square feet. he will cover 1,033 square feet with wood and the rest with tile. a box of tiles will cover 11 square feet. how many boxes of tile does marcus need to buy to cover the floor?

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.