Identify the first term and common ratio.

The sequence is a geometric progression: $36, 12, 4, \dots$
The first term is $a = 36$.
The common ratio is $r = \frac{12}{36} = \frac{1}{3}$.

The sum to infinity of a geometric progression is given by the formula $S_{\infty} = \frac{a}{1-r}$, provided that $|r| < 1$.
In this case, $|r| = \left|\frac{1}{3}\right| < 1$, so the sum to infinity exists.

The correct option is B.
The sum to infinity is $\boxed{\text{54}}$.

27.

The computer prints 2100 words in 5 minutes.
Rate = $\frac{\text{Number of words}}{\text{Time}}$

Time = $6\frac{1}{2}$ minutes = 6.5 minutes.
Number of words = Rate $\times$ Time

The correct option is B.
The number of words printed is $\boxed{\text{2730}}$.

28.
The number given is 50.999.
The question asks to express it correct to 3 decimal places.
If 50.999 is interpreted as the repeating decimal $50.999\dots$, then it is equivalent to 51.
To express 51 correct to 3 decimal places, we write it as 51.000.
Among the given options, 51.0 (Option A) is equivalent to 51.000.
The correct option is A.
50.999, expressed correct to 3 decimal places, is $\boxed{\text{51.0}}$.

29.
The number is 4.035.
We need to find the value of the digit 3.
The digit 3 is in the hundredths place.
Its value is $3 \times \frac{1}{100} = 0.03$.
The correct option is A.
The value of the digit 3 in 4.035 is $\boxed{\text{0.03}}$.

30.
The symbol $\le$ means "less than or equal to".
The correct option is D.
The symbol $\le$ means $\boxed{\text{Less than or equal to}}$.

31.

By observing the coordinates on the graph, point T is located at $x = -2$ and $y = -2$.
The coordinates of point T are $(-2, -2)$.
The correct option is B.
The point T on the graph is $\boxed{\text{(-2, -2)}}$.

32.

Multiplication should be performed before subtraction.

The correct option is B.
Evaluating $16 - 2 \times 3$ gives $\boxed{\text{10}}$.

33.

The equation of the line is $2y = 4x$.
Divide both sides by 2:

• A (4, 2): $2 = 2(4) \Rightarrow 2 = 8$ (False)
• B (1, 2): $2 = 2(1) \Rightarrow 2 = 2$ (True)
• C (2, 1): $1 = 2(2) \Rightarrow 1 = 4$ (False)
• D (1, 1): $1 = 2(1) \Rightarrow 1 = 2$ (False) The point (1