Final answer:
It will take 8 years for the account balance to grow to $4,800.
Step-by-step explanation:
To find the time it takes for the account balance to grow to $4,800, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
In this case, the principal is $3,840, the rate is 5%, and the account balance is $4,800. We can set up the equation:
$4,800 = $3,840 × 0.05 × Time
Simplifying the equation, we get:
Time = $4,800 / ($3,840 × 0.05)
Time = 8 years