Answer:
Option A.
Step-by-step explanation:
Note: Let as consider, we have to find the total amount after 9 years.
It is given that,
Principal amount = $1000
Rate of compound (yearly) interest = 15% = 0.15
Time = 9 year
The formula for total amount is
[tex]M=P(1+i)^n[/tex]
where, P is principal, i is rate of interest and n is number of years.
Substituting P=1000, i=0.15 and n=9, we get
[tex]M=1000(1+0.15)^9[/tex]
[tex]M=1000(1.15)^9[/tex]
[tex]M=1000(3.5178763)[/tex]
[tex]M=3517.8763[/tex]
[tex]M\approx 3517.88[/tex]
So, the total amount after 9 years is $3517.88.
Therefore, the correct option is A.