Cassandra Dawson wants to save for a trip to Australia. She will need $$22,000$ at the end of five years. She can invest a certain amount at the beginning of each of the next five years in a bank account that will pay her $6\mathrm{.}8$ percent annually. How much will she have to invest each year to reach her target?

$$4,230$

$$3,596$

none of these

$$5,345$

$$4,588$