15 points and BRAINLIEST Alyssa invested $500 into an account. The value of the account after t years can be found using the function r(t) = 500(1.068). What is the percent annual rate of change
in the value of the account?

Respuesta :

Answer:

annual rate: r = 0.068

Step-by-step explanation:

The formula is r(t) = P(1+r)^t

Since the time is already in years we just have to solve for the rate

1 + r = 1.068

r = 0.068

The rate of change in the value of account is 0.068

What is rate of change?

'Rate of change is used to mathematically describe the percentage change in value over a defined period of time.'

According to the given problem,

Annual rate:

r = 0.068

The formula is r(t) = [tex]P( 1 + r )^{t}[/tex]

Therefore, solving for the rate

⇒ 1 + r = 1.068

⇒ r = 0.068

Learn more about rate of change here: https://brainly.com/question/14418346

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