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According to a tax rate formula for a certain year, the amount of tax owed by an individual whose annual income was between $31,850 and $77,100 was equal to a base tax of $4,386 plus 24 percent of the annual income that exceeded $31,850. According to this formula, what was the amount of tax owed by an individual whose annual income that year was $42,000?
A line in the xy-plane has the equation $$y=mx+6$$, where $$m$$ is a constant and $$3 \leq m \leq 4$$. Which of the following could be the x-intercept of the line?

Indicate all such values.


The figure represents a 5-foot-wide circular walkway that is bounded by two concentric circles. The outer boundary of the walkway is approximately how many feet longer than the inner boundary of the walkway?
A family paid 12 percent of its annual after-tax income on food last year. This amount was equal to 10 percent of its annual before-tax income last year. Which of the following is closest to the percent of the family's annual before-tax income that was paid for taxes last year?
Sequence $$S$$: $$a_{1}, a_{2}, a_{3},......,a_{n}$$........

In sequence $$S$$, $$a_{1}$$ is an integer and $$a_{n}=2a_{n-1}$$ for all integers n greater than 1. If no term of sequence S is a multiple of 100, which of the following could be the value of $$a_{1}$$?

Indicate all such values.
The cube root of which of the following integers is equal to $$\sqrt[3]{3}$$+$$\sqrt[3]{192}$$+$$\sqrt[3]{375}$$?
If x is an integer, then what is the least possible value of $$3^{x}$$ + $$3^{-x}$$ ?
Each side of square S has length 2. Five different points lie inside S but not on the sides of S.

Quantity A

The distance between the closest two points among the five points

Quantity B

$$\sqrt{2}$$


In the ceiling of a room, an opening was cut in the shape of a square with sides that are 1 foot in length. A circular fixture will be placed over the opening. If the circular fixture covers the square opening completely, which of the following could be the diameter of the circular fixture, in inches? (Note: 1 foot = 12 inches)

Indicate all such diameters.


The center of each of the five circles is point O. The radii of the five circles, from smallest to largest, are $$r$$, $$2r$$, $$3r$$, $$4r$$, and $$5r$$, respectively.

Quantity A

The area of the shaded region

Quantity B

The area of the striped region


Because it has usually been impossible to eradicate exotic species once they have become established, it is ____________ to minimize introductions of species that have substantial probabilities of unwanted impacts.
The campaign official argued that the large swings in the candidate's approval ratings were a result not of the ____________ of the electorate but rather of the polls' margins of error and divergent methodologies.
Although it is quite probable that many small asteroids in the solar system's asteroid belt have (i) _____________, the total mass of these objects cannot be (ii) _____________, since the combined gravitational pull of all known asteroids is (iii) ______ to fully account for the asteroid belt's effect on the motion of nearby planets such as Mars.
Parker's model of human affairs reflects (i) _____________outlook, in stark contrast to the generally (ii) _____________ analyses of her colleagues in the economics department.
Seemingly (i) ______________ her reputation for tediousness, the university president (ii)______________ a casual, chatty style in the speech she delivered.
Motorcycle riders in London have discovered an ingenious, albeit ____________, way of parking illegally without getting a ticket.
Set S={2, 4, 6}

Set T={2, 4, 6, 8, 10, 12}

How many different sets M, other than S and T, can be formed such that S is a subset of M and M is a subset of T?
At a constant rate of $$\frac{x}{6}$$ miles for every $$y$$ seconds, how many minutes would it take an aircraft to travel $$z$$ miles? ($$xyz \neq 0$$)
Three different television models—$$K$$, $$N$$, and $$P$$—are for sale at a local store. The cost of model $$K$$ is $$20$$ percent greater than the cost of model $$N$$, and the cost of model $$N$$ is $$25$$ percent greater than the cost of model $$P$$. The cost of model $$K$$ is what percent greater than the cost of model $$P$$?

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