Question

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.

Answer 1

10000 x (1.001438)^4t

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