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题目内容
A certain money market account that had a balance of $48,000 during all of last month earned $360 in interest for the month. At what simple annual interest rate did the account earn interest last month?
If someone puts away $92,000 in a bank with an annual interest rate of r%, and earns $920 in the first month, then what is the value of r? Give your answer as percent.

_____%
Vladimir invested $10,000 for one year.He invested some of the amount at 4 percent simple annual interest and the rest of the amount at 6 percent simple annual interest.

If the total interest earned for the year was between $450 and $550, which of the following statements must be true?.

Indicate all such statements.
If A is the initial amount put into an account, R is the annual percentage of interest written as a decimal, and the interest compounds annually, then which of the following would be an expression, in terms of A and R, for the interest accrued in three years?
If $5,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Diana invested $61,293 in an account with a fixed annual percent of interest, compounding quarterly. At the end of five full years, she had $76,662.25 in principal plus interest. Approximately what was the annual percent rate of interest for this account?

Quantity A

The number different line segments that can be formed when connecting 6 different points on a circle

Quantity B

15


7 kids play poker games together, and every two kids play five rounds to determine who wins. How many rounds do they need to play so that every kid plays with all the other kids?
Each person at a party shook hands exactly once with each of the other people at the party. There was a total of 21 handshakes exchanged at the party.

Quantity A

The number of people at the party

Quantity B

8


There are 10 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
In a soccer league, if there were 10 teams and each team played with each of the other team 16 times, then how many games each team play?
In a certain sock drawer, there are 4 pairs of black socks, 3 pairs of gray socks and 2 pairs of orange socks. If socks are removed at random without replacement, what is the minimum pair of socks that must be removed in order to ensure that two pairs of socks of the same color have been removed?
There are 100 white balls, 100 red balls, and 100 green balls in the box. What is the minimum number of balls that must be removed in order to ensure that four balls of the same color have been removed?


There are a total of 40 red, yellow or blue balls in a box. Each ball is marked with a number out of 1, 2, 3 and 4 on the side. The figure in the shaded area below each shows the number of balls in that category. For example, the number of red balls marked with the number "1" is 12. What is the minimum number of balls to be taken out of the box to ensure that you have at least one ball of each color and at least one ball of each marked number?
x and y are both integers

$$x^{2}$$-$$y^{2}$$=27

Quantity A: x

Quantity B: 10
The integer v is greater than 1. If v is the square of an integer, which of the following numbers must also be the square of an integer?

Indicate all such numbers.
a + $$\frac{1}{a}$$= $$\sqrt{5}$$

Quantity A

$$a^{2}$$+$$(\frac{1}{a})^{2}$$

Quantity B

3


(x+$$\frac{1}{x}$$)=$$\sqrt{5}$$

Quantity A

$$x^{2}$$+$$\frac{1}{x^{2}}$$

Quantity B

3


$$\frac{0.99999999}{1.0001}$$ - $$\frac{0.99999991}{1.0003}$$ = ?

Quantity A

$$x^{2}$$+1

Quantity B

2x-1


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