If Carlos puts $3 into his bank account, and it grows by 50% each year, then we can use the following formula to calculate the balance of his account after a certain number of years:
B = P x (1 + r)^n
where:
B = balance
P = principal (initial deposit)
r = interest rate (as a decimal)
n = number of years
In this case, Carlos' initial deposit is $3, the interest rate is 50% or 0.5, and we want to find out the balance after a certain number of years.
Let's say we want to find out the balance after 3 years. We can plug in the values into the formula:
B = 3 x (1 + 0.5)^3
B = 3 x 1.5^3
B = 3 x 2.25
B = $6.75
Therefore, after 3 years, Carlos' account balance would be $6.75.