How much money will there be in an account at the end of 6 years if $17000 is deposited at 6% interest compounded quarterly

You would get 6120 at the end of 6 years

Quarterly = 4

Time = t = 6

So your equation is:

17000 + 17000 (.06) (4) (t)

Your first year is:

17000 + 17000 (.06) (4)

17000 + 4080 = 21080

.06 is your interest and it is compounded four times a year for six years

After a six year term, your account has:

17000 + 4080 (t)

or 17000 + 4080 (6)

Which equates to 41480