Question

1) Suppose you put money into two different bank accounts. In account #1 you deposit $500 and you will be earning 6% interest compounded quarterly. In account #2 you deposit $600 and you will be earning 5% interest compounded annually. Which statement below best describes the relationship between the amount in Account #1 and Account #2 after 10 years have passed? Assume that during these years you do not withdraw any money.
a) Account #1 will have approximately $397 less than Account #2
b) Account #1 will have approximately $82 more than Account #2
c) Account #1 will have approximately $70 less than Account #2
d) Account #1 and Account #2 will have approximately the same amount of money in them.

2) In a single-elimination tournament, half of the remaining teams are eliminated in each round. If the tournament starts with 128 teams, how many teams will be left after 5 rounds?
a) 16 teams
b) 12 teams
c) 8 teams
d) 4 teams
Thank you!

Answer 1

The answer for number 1 is D they will have the same amount of money.

Answer 2

To question 1:

The answer will be C.

• I got this from the comment section on the other answer posted here.

To question 2:

The answer is D.

• I figured this out by putting it into a table on the website Desmos.