Find the amount that results from the given investment. $ 200 invested at 22% compounded quarterly after a period of 3 years. after 3 years, the investment results in

Compound  interest  formula

 Where

A= Future value
P = the Principal (the initial amount of money) 
r = annual interest rate

t = time

n= number of times compounded in one t

Remark
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r is generally a percentage like 3%, 7% etc and are applied in the formula as 0.03, 0.07..., 

the interest is compounded generally annually (n=1), quarterly (n=4), monthly (n=12), etc...

t is in years,

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Thus, in our problem, P=$200, r=22%=0.22, n=4, t=3

Applying the formula we have:





=380 ($)

380$