Lauren will make annual contributions in the amount of $4770 on average to a 401(k) over the next 34 years. her employer will match 60% of her contributions. she is currently being taxed at 33% but anticipate being taxed at 15% upon retirement. if her account grows at an average rate of 5.5% annually what is the value of lauren's 401(k) upon retirement? (show work)

a= $381,435.69
b= $395,228.47
c= $610,297.11