Answer:
The interest is 634.13.
Step-by-step explanation:
Amount deposit , P = 5000
Interest, R = 4 % so, R = 4/4 = 1 %
Time, T = 3 years quarterly
n = 3 x 4 = 12
Let the amount is A.
Use the formula of the compound interest
[tex]A = P \left ( 1 + \frac{R}{100} \right )^n\\\\A = 5000 \left ( 1 + \frac{1}{100} \right )^{12}\\\\A = 5634.13[/tex]
So, the interest is
I = A - P = 5634.13 - 5000 = 634.13