A principal of $3800 is invested at 6.75% interest, compounded annually. How much will the investment be worth after 6 years?

Your principal amount is = 3800$.

your interest for the compound interest is equal to 0.0675/6

and your compounding period is equal to 6.

so now Fv=a (1+rt) ^n

therefore

Fv=3800 (1 + (0.0675/6)) ^6

what ever this works out to be will be your answer.

Fv variable just means "future value."

The rest is self explanatory.

4160 dollars aproximately