Question

Janet has money invested in two different accounts. The function f(x) represents the amount of money in an account after x years of interest compounded monthly, while the function g(x) represents the amount of money in an account after x years of simple interest. x 1 2 3 4 f(x) 1,576.74 1,657.41 1,742.21 1,831.34 x 1 2 3 4 g(x) 1,575 1,650 1,725 1,800 Complete the table to show the difference in the value of the accounts for each year. x 1 2 3 4 (f – g)(x)

Answer 1

Considering the amounts in each table, the difference function is given as follows:

x|          1       2     3         4

(f - g)(x)|1.74 7.41  17.21   31.34

What is the difference function?

At each value of x, the difference function (f - g)(x) is given by f(x) - g(x).

Hence, from the table given:

(f - g)(1) = f(1) - g(1) = 1,576.74 - 1,575 = 1.74.

(f - g)(2) = f(2) - g(2) = 1,657.41 - 1,650 = 7.41.

(f - g)(3) = f(3) - g(3) = 1,742.21 - 1,725 = 17.21.

(f - g)(4) = f(4) - g(4) = 1,831.34 - 1,800 = 31.34.

More can be learned about functions at https://brainly.com/question/25537936