Answer:
D
Step-by-step explanation:
.75% of 200 is 1.5
multiply that by 3
add the original amount
The $204.53 is the balance in her bank account at the end of 3 years option (D) 204.53 is correct.
It is given that the Nyla invested $200 in an account with a 0.75% annual interest rate.
It is required to find the balance in her bank account at the end of 3 years if compounded annually.
It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A= P(1+r)^t[/tex]
Where A = Final amount
     P = Principal amount
     r  = annual rate of interest
     t = How long the money is deposited or borrowed (in years)
We have P = $200
        r = 0.75% = 0.0075
        t = 3 years
Putting the values in the formula, we get;
[tex]\rm A= 200(1+0.0075)^3\\\\\rm A = 200(1.0226)\\\\\rm A = \$204.52[/tex]
or A ≈ $204.53
Thus, the $204.53 is the balance in her bank account at the end of 3 years option (D) 204.53 is correct.
Learn more about the compound interest here:
brainly.com/question/26457073
