Consider the tables created using an initial investment of $1,000 and quarterly compounding of interest.
Table A represents the function that models the total amount of one investment, a(x), based on the annual interest rate, x, as a percent.
Table B represents the function that models the interest rate, r(d), as a percent, based on the total amount at the end of the investment, d.

Table A
.75 1 1.25
1038.18 1051.21 1064.39

table B
1057.81 1077.78 1098.12
.75 1. 1.25

Use the values in the table to verify the relationship between the functions representing the investments. Which conclusion can be made?

The functions are inverses because the domain of Table A is the same as the range of Table B.

The functions are inverses because the range of Table A is different from the domain of Table B.

The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (x, y) for the other function.

The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.

(d)  The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.

Step-by-step explanation:

If functions are represented by a table of ordered pairs, their inverse function is the set of ordered pairs with the x- and y-values swapped.

Here, for (x, y) = (0.75, 1038.18), the pair from the other table that begins to correspond is (y, x) = (0.75, 1057.81). These reversed pairs are not the same, so the functions are not inverses of each other.

Comment on the tables

Table A is for a 5-year investment; table B is for a 7.5 year investment. They cannot be inverses of each other.

answer: can and shows the work

step-by-step explanation:

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: