Find how much is the account worth at the end of the fifth year.

If a principal is invested at an annual interest rate  compounded times a year, then the balance in the account after years is given by

.

 Find how much is the account worth at the end of the first year.

Since amount compounded quarterly .

Here , , year and .

.

At end of each year she takes out.

The amount in the account after out is.

Find how much is the account worth at the end of the second  year.

Here , , year and .

.

At end of each year she takes out.

The amount in the account after out is.

Find how much is the account worth at the end of the third year.

Here , , year and .

.

At end of each year she takes out.

The amount in the account after out is .  

 Find how much is the account worth at the end of the fourth year.

Here , , year and .

.

At end of each year she takes out.

The amount in the account after out is .

Find how much is the account worth at the end of the fifth year.

Here , , year and .

.

At end of each year she takes out.

The amount in the account after out is .

The account worth at the end of the fifth year is .

The account worth at the end of the fifth year is .