Find the balance of $6,000 deposited at 6% compounded semi-annually for 3 years

The balance will be $7,164.31.

Step-by-step explanation:

The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

Semi-annually is twice a year, so

We want to find A when

The balance will be $7,164.31.