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题目内容
At the beginning of a certain year, a new savings account was opened with a $1,000 deposit.The account earned interest at an annual rate of r percent, compounded annually, and there were no other transactions in the account during the first 2 years after it was opened.

Quantity A

The amount of interest that the account earned during the 2nd year alone

Quantity B

10r dollars


Quantity A

$$100!+99!$$

Quantity B

$$\frac{101!}{100}$$


The repeating decimal $$0.9\overline{63}$$ is equivalent to the fraction $$\frac{x}{y}$$, where x and y are positive integers whose greatest common factor is 1.

Quantity A

x+y

Quantity B

150


What fraction is equivalent to the repeating decimal $$0.0\dot{1}$$?
Quadrilateral EFGH is inscribed in a circle such that side FG is a diameter of the circle.

Quantity A

The area of EFGH

Quantity B

$$\frac{1}{4}$$ the area of the circle




The graphs show the cumulative relative frequency for the values in data set A and the values in data set B, where the cumulative relative frequency of each value v is the sum of the relative frequencies of the values less than or equal to v. If x percent of the values in A are less thar or equal to 20 and y percent of the values in B are less than or equal to 20, which of the following is the best estimate of x-y?
A firewood seller assembled a 440-piece bundle of firewood. Each piece of firewood in the bundle was one of two types: high quality or medium quairty. The ratio of the number of high-quality pieces to the number of medium-quality pieces was 8:3. How many high-quality pieces were in the bundle of firewood?
Let $$n$$ be a positive integer less than 1,000, and let $$k$$ be the remainder when $$16^n$$ is divided by 100. For how many values of $$n$$ is $$k$$ equal to 96?
Each of trapezoids B and C has two adjacent right angles and bases that are two opposite parallel sides. The distance between the bases of B is the same as the distance between the bases of C. One base of B is twice as long as the other base of B.The shorter base of C is half as long as the shorter base of B, and the longer base of C is twice as long as the longer base of B. What is the ratio of the area of B to the area of C?
How many positive integers lesss than or equal to 770 are neither multiples of 7 nor multiples of 11?
Let S be a list of 5 positive integers. For the integers in S, the average (arithmetic mean) is 6, the median is 4, and the unique mode is 3. What is the greatest possible value of the range of the integers in S?
George invested $1,000 at a simple annual interest rate of 5 percent, earning a total of x dollars in interest for the first two years of the investment. Mary invested $1,000 at an annual interest rate of 5 percent compounded annually, earning a total of y dollars in interest for the first two years of the investment.

Quantity A

y-x

Quantity B

5


k > 2

Quantity A

$$1+\frac{2}{k}+\frac{3}{k^2}$$

Quantity B

3


x > 0 and y < 0

Quantity A

x+y

Quantity B

x-y


r > 0

Quantity A

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

Quantity B

$$\frac{1}{r}$$


Set H consists of all the positive factors of 90. Set F consists of all the multiples of 5 that are between 1 and 99.

Quantity A

The number of integers in the set H ∩ F

Quantity B

6


k is a positive integer.

Quantity A

The number of prime numbers from k to k+10

Quantity B

The number of prime numbers from k+10 to k+20


The circumferences of the three concentric circles P, Q, and R are 3π, 5π, and 6π, respectively.

Quantity A

The area of the region between P and Q

Quantity B

The area of the region between Q and R


Quantity A

The area of a right triangle with hpotenuse of length $$c$$ and a leg of length $$a$$

Quantity B

The area of a right triangle with hpotenuse of length $$c$$ and a leg of length $$2a$$


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