Given the information, we have that the present value is $200, the rate is 6% compounded quarterly, then (6%)/4=1.5%. We want to know how much money there will be after 5 years, then, using the compound interest formula we have:
[tex]FV=PV(1+r)^n[/tex]Where:
FV=Future Value
PV=Present Value
r=rate
n= periods
Using the information at hand, we get:
[tex]FV=200(1+0.015)^5=200(1.077284004)=215.45[/tex]Therefore, there will be 215.45 dollars after 5 years