a famous fast food chain opened two branches in different parts of a city. branch a made a profit of $50,000 in the first year, and the profit increased by 4% every year. branch b made a profit of $35,000 in the first year, and the profit increased by 5.5% every year. which function can the fast food chain use to determine its total profit, p(x), after x years, and how much money will the chain have made in profit after 4 years? a)p(x) = 5,000(10(1.055)x + 7(1.04)x); $97,341.65 b)p(x) = 5,000(10(1.04)x + 7(1.055)x); $73,017.93 c)p(x) = 5,000(10(1.055)x + 7(1.04)x); $106,576.25 d)p(x) = 5,000(10(1.04)x + 7(1.055)x); $101,851.79

The function can the fast food chain use to determine its total profit, P(x), after x years :

Total profit after 4 years = $101,851.79

Step-by-step explanation:

Branch A:

First year profit = $50,000

The profit increased by 4% every year

Formula :

So, Total profit after x years =

                                              =

Branch B:

First year profit = $35000

The profit increased by 5.5% every year

Formula :

So, Total profit after x years =

                                              =

Thus the function of total profit of fast food chain :

Now to find total profit after four years .

Substitute x = 4

Hence Option D is correct.

The function can the fast food chain use to determine its total profit, P(x), after x years :

Total profit after 4 years = $101,851.79                                            

D) P(x) = 5,000(10(1.04)x + 7(1.055)x); $101,851.79

Step-by-step explanation:

The exponential growth equation is given by :-

, where x is time , I is the initial value and and r is the rate of growth.

For Branch A:

I= $50,000

r= 4%=0.04

Exponential growth equation for Branch A :

 (1)

For Branch B:

I= $35,000

r= 5.5%=0.055

Exponential growth equation for Branch A :

      (2)

Add (1) and (2)

For x= 4, we have

Hence, the function can the fast food chain use to determine its total profit, P(x), after x years, :

Amount of money will the chain have made in profit after 4 years = $101851.79

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values

answer: 0.64

step-by-step explanation: