A function that can be used to solve this type of problem is A=P(1+r/n)^nt. P is the principal amount, in this case 4000. R is the interest rate, 5%, written as 0.05. The account is compounded quarterly, so four times a year; this is represented by n, and t is the time, in this case 6. So plug that all in and we have the equation 4000(1+0.07/4)^(4)(6). Now solve for this and round to the nearest hundredth.