In compound interest , theres a constant quantity added periodically, during a time.
general formula is
P' = P (1 + r/100)^ t
P is initial amount, P' is final amount
r is interest rate, and t , time balance
Then, replacing values
P' = 800.00 •( 1 + 8/100) ^ (5x4)
quarterly means , every 3 months.
There are in 5 years , 4x5 = 20 quarterlys
Then, equation is
P' = 800.00•(1+8/100) ^20
P' = 3728.77