Question

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) = 9,628(0.92)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) 8,972 8,074.80 7,267.32 6,540.59


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

Answer 1

The percentage given shows that the amount is decreasing by 8%.

How to illustrate the information?

From the information given, the function is f(x) = 9,628(0.92)x. This illustrates that the amount is decreasing by 8% she compared to the previous year. This was computed as:

= 1 - 0.92

= 0.08

= 8%

For part B, the percentage change will be:

= (8,972 - 8,074.80)/8972 × 10

= 10%

Therefore, the account recorded a greater percentage change in amount of money over the previous year is account B as 20% is lore than 8%.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1