PLEASE ANSWER QUICK THIS IS TIMED AND I WILL GIVE BRAINLIEST I PROMISE! 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) = 1,264(1.09)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) 1,375 1,512.50 1,663.75 1,830.13



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

Respuesta :

Answer:

This was timed and posted awile ago but I don't have the answer either way.

Step-by-step explanation:

Answer:

A) The price of product A is increasing by 3% per year.

(B) The product A recorded a greater percentage change in price over the previous year.

Step-by-step explanation:

(A)

The function representing the price, in dollars, of product A after x years is:

FA(x)=0.69*(1.03)x

The function  FA(x)can be written as:

FA(x)=0.69*1+(0.03)x

The function FA(x) is similar to the exponential growth function, y=a(1+r)x .

Here r is the growth rate.

Thus, it can be said that the price of product A is increasing by 3% per year.

(B)

Consider the data of product B for the year 3 and 4.

The price of product B for year 3 and 4 are 10,303.01 and 10,406.04.

Compute the percent price change from year 3 to 4 as follows:

10406.04-10303.01/10303.01*100

which is 0.999%

~1%

The price of product B is increasing by 1% per year.

Thus, the product A recorded a greater percentage change in price over the previous year.

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