Answer: . $50
Step-by-step explanation:
The formula to find the compound amount (compounded quarterly) is given by :-
 , where P Is principal amount, r is the rate of interest in decimal and t is the time in years.
, where P Is principal amount, r is the rate of interest in decimal and t is the time in years.
Given : Aaron puts $1,000 in an account that pays 10% interest compounded quarterly. 
Then, P=1000, r=10%=0.1 ; t= year
 year
Now, 
 
Then , Compound interest=
Hence, he earns the estimated interest of $50.