17. (Ignore income taxes in this problem.) If you wanted to withdraw $12,000 from a bank account at the end of each of the next 20 years, approximately how much would you have to invest in the account today assuming a 6% interest rate?
a. $20,924
b. $38,462
c. $74,880
d. $137,604

  d.  $137,604

Step-by-step explanation:

The amortization formula is good for this. It tells you the principal P that must be invested to support payments of A each year for t years when the interest rate is r:

  P = A(1 -(1 +r)^-t)/r

  P = $12,000(1 -1.06^-20)/0.06 ≈ $137,639.05

The closest answer choice is $137,604.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.