Answer:
10000 x (1.001438)^4t
Step-by-step explanation:
Using the compound interest formula Accrued Amount = P (1 + r/n)^n t
where Accrued amount is to be determined
P = principal; $10000
r = 5.75% = 0.0575
n = number of times interest is applied annually = 4 for quarterly
t = number of years
Therefore
Accrued Amount (A) = 10000 x (1 + (0.0575/4))^(4t)
= 10000 x (1 + (0.001438))^(4t)
= 10000 x (1.001438)^4t
which can then be solved by varying t, the number of years
