Someone plz the amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. marco is studying the change in the amount of money in two accounts, a and b, over time.

the amount f(x), in dollars, in account a after x years is represented by the function below:

f(x) = 10,125(1.83)x

part a: is the amount of money in account a increasing or decreasing and by what percentage per year? justify your answer. (5 points)

part b: the table below shows the amount g(r), in dollars, of money in account b after r years:

r (number of years) 1 2 3 4
g(r) (amount in dollars) 9,638 18,794.10 36,648.50 71,464.58

which account recorded a greater percentage change in amount of money over the previous year? justify your answer. (5 points)

Step-by-step explanation:

Part A

The function representing the amount f(x), in dollars, in account A after x years is is given as

f(x) = 10,125(1.83)^x

Looking at the function, the amount of money in account A increasing. The percentage by which the amount in account A is increasing is 83%

Part B

The table below showing the amount g(r), in dollars, of money in account B after r years is given as

r (number of years) 1 2 3 4

g(r) (amount in dollars) 9,638 18,794.10 36,648.50 71,464.58

The change between year 1 and year 2 is

18794.10 - 9638 = 9156.1

Percentage change

= 9156.1/9638 × 100 = 95%

The change between year 2 and year 3 is

36648.50 - 18794.10 = 17854.4

Percentage change

= 17854.4/18794.10 × 100 = 95%

So the the percentage by which the amount in account B is increasing is 95%

Therefore, Account B recorded a greater percentage change in amount of money over the previous year. This is because 95% is greater than 83%

the nearest power is 1.651.

means 7482 to the 1.651th power is almost equal to 2489287

a. is correct