Lauren will make annual contributions in the amount of $4,770, 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 anticipates 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?

$381,435.69

$395,228.47

$481,057.72

$610,297.11

and explain

  $610,297.11

Step-by-step explanation:

The problem seems to make several assumptions:

Of these, the last is least likely to be true in the United States.

___

Based on the assumptions above, we compute the amount from the future value of the series of contributions, then subtract 15% from that result.

  FV = P·((1 +r)^n -1)/r . . . . where P is the amount of each payment, r is the annual interest rate, n is the number of payments.

The amount deposited each year is ...

  $4770 + 0.60·4770 = $7630

Then the future value after 34 deposits is ...

  FV = 7630·(1.055^34 -1)/0.055 ≈ 717,996.60

When this amount is reduced by the assumed 15% tax rate, it becomes ...

  $717,996.60 - 0.15·717,996.60 = $610,297.11

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.