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.

find the vertical and horizontal asymptotes of the function f x = 5 x − 1 . to find the vertical asymptote, equate the denominator to zero and solve for . since the degree of the polynomial in the numerator is less than that of the denominator, the horizontal asymptote is .

step-by-step explanation:

45.36 feet per second.

step-by-step explanation:

to find the most accurate determination for the number of feet per second tyrone traveled on his way to work let us convert miles to feet and minutes to seconds.

1 mile = 5280 feet.

1 minute = 60 seconds.

now we will divide 158400 by 3492 to find the most accurate determination for the number of feet per second tyrone traveled on his way to work.

therefore, tyrone traveled on his way to work at the rate of 45.36 feet per second.