Lucy invested $770 in an account paying an interest rate of 3.2% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 12 years?

$1130

The general formula for compounding interest is A=P(1+(r/n))^nt.
Since you know 770 is the principal or starting amount you can put that in the P space. Then, substitute .032 in for the r (the rate) and 4 in for n (since it is compounding quarterly). In the last part of the equation, 12 would be subbed in for t (time) and 4 for n again. At this point your equation should look like
A=770(1+(.032/4))^48
Once simplified this becomes $1128.70. Since you need it to the nearest ten dollars, your answer would be $1130.
Hope this helped :)