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Step-by-step explanation:

we have

Solve for a

That means ----> Isolate the variable a

Factor 3 in the numerator right side

Simplify right side

subtract a both sides

subtract 1 both sides

Rewrite

The formula for compound interest is

where
the total amount of money in the account after a certain amount of time
the principal amount
the interest rate as a decimal
the number of times a year interest is compounded
the number of years passed

For Patrick, we have


For Brooklyn, we have


So Brooklyn's deposit results in more money after the 2 years.