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If someone puts away $1,000 in a bank with an annual interest rate of 3%, then at least by how many years will the account exceed $1,200?

_____years
$3,000 is the initial amount placed in an account and the interest compounds monthly, and the total value is $3,090 at the end of the first month. At the end of the second month, what fraction of the total interest of the two months is the interest of the second month?

Give your answer as a fraction.
x ≠ 0

$$(x+\frac{1}{x})^{2}$$=5

Quantity A

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

Quantity B

3


Among people A, B and C, B is 5 years older than A, while B is 20 years older than C.

Quantity A

A

Quantity B

2C


$$\frac{x^{\frac{25}{2}}*x^{2}}{x^{n}}$$=$$x^{100}$$

n=?

Give your answer as a decimal.
Which of the following is the best estimate of $$\frac{(16.8)(10^{3})}{(0.51)(10^{-11})}$$?
Which of the following is equal to an integer raised to the third power?
x, n and k are all integers, 0 < x < $$10^{7}$$, x=$$n^{k}$$

If the units digit of x is 5, and x could be transformed into both the square of an integer and the cube of an integer, then x must be?
If 5$$\sqrt{t}$$=9, then $$\sqrt{t}$$-t=?

Give your answer as a fraction.
The cubic root of which of the following number is $$\sqrt[3]{3}$$+$$\sqrt[3]{192}$$+$$\sqrt[3]{375}$$?
An apartment building contains 60 apartments. Of the apartments in the building,$$\frac{3}{5}$$ have one bedroom and the rest have 2 or 3 bedrooms. If the 60 apartments have a total of 94 bedrooms, how many of the apartments have 3 bedrooms?
3x-2k=7

9x-6k=21

Quantity A

x

Quantity B

k




If the total sum of 40 bills (either 2-dollar bills or 4-dollar bills) is $90, what is the probability that a 4-dollar bill is selected out of these bills?

Give your answer as a fraction.
List L consists of the numbers 1-$$\frac{1}{k}$$ for all integers k from 1 to 100, inclusive. List M consists of the number 1 and the numbers 1-$$\frac{1}{k}$$ for all integers k from 1 to 100, inclusive.

Quantity A

The average (arithmetic mean) of the numbers in list L

Quantity B

The average (arithmetic mean) of the numbers in list M


If x is an integer, then what is the least possible value of $$3^{x}$$ + $$3^{-x}$$ ?
g > 0

Quantity A

$$g^{x}$$+$$\frac{1}{gx}$$

Quantity B

1


r is a positive integer, k=2r+1, and h=5k-3

Quantity A

The units digit of h

Quantity B

2


a < 0

The operation △ is defined by $$n^{△}$$=$$(n-1)^{2}$$ for all numbers n.

Quantity A

$$\frac{(a+1)^{△}}{a^{2}}$$

Quantity B

1


$$n^{∇}$$=$$(n+1)^{2}$$

Quantity A

$$\frac{(a-1)^{∇}}{a^{2}}$$

Quantity B

1


$$k^{θ}$$ represents the largest integer less than k.

Quantity A

$$8^{θ}$$+$$3.5^{θ}$$+$$(-6)^{θ}$$

Quantity B

3


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