You deposited $10,000 in an account. Write an equation to determine the amount, A, you will have in t years if the account pays 5.75% interest compounded quarterly.

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