Answer: 8.76%
Step-by-step explanation:
The formula to find the simple interest is given by :-
 , where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).   (1)
, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).   (1)
Given : Justin deposited $2,000 into an account 5 years ago.
i.e. P = $2,000 ,  t= 5 years
 He has just withdrawn $2,876. i.e. Future value = $2,876
 Interest (I)=$2,876-$2,000=$876  [Subtract Principal value from Future value]
 
Substitute all the above values of P , t , and I in the formula (1) , we get

In percent , 
Hence, the rate of interest = 8.76%