Describe the transformations to f(x): -2f(x - 3) + 8

Brooklyn will have more money after two years

She'll have 13 more dollars compared to Patrick.

Explanation:

We'll be using this compound interest formula

A = P*(1+r/n)^(n*t)

The variables are:

A = final amount at time tP = initial amount, aka deposit or principalr = decimal form of the annual interest raten = number of times we compound the money per yeart = number of years

Patrick has the following values:

P = 300r = 0.03n = 4t = 2

which leads to...

A = P*(1+r/n)^(n*t)

A = 300*(1+0.03/4)^(4*2)

A = 318.479654345482

A = 318.48

Patrick will have $318.48 in his account after 2 years.

For Brooklyn, she has:

P = 300r = 0.05n = 12t = 2

Those values then plug into the formula to get...

A = P*(1+r/n)^(n*t)

A = 300*(1+0.05/12)^(12*2)

A = 331.482400667499

A = 331.48

Brooklyn will have $331.48 in her account after 2 years.

We can see that Brooklyn earns more compared to Patrick.

She has $331.48 - $318.48 = 13 more dollars compared to Patrick.

This is to be expected for two reasons:

Her annual interest rate is higher (5% compared to 3%)The money in her account is compounded more frequently (12 times per year compared to 4 times per year)