There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 9 people needing transportation leaving 9 - 8 = 1 who will have to find other transportation.

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $500
i = 0.08 x $500
i = $40

First, solve for \( \left|x + 4\right| \):

\( \left|x + 4\right| \) + 0 = -3
\( \left|x + 4\right| \) = -3 + 0
\( \left|x + 4\right| \) = -3

The value inside the absolute value brackets can be either positive or negative so (x + 4) must equal - 3 or --3 for \( \left|x + 4\right| \) to equal -3:

So, x = -1 or x = -7.

To simplify this fraction, first find the greatest common factor between them. The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 4 factors [1, 2, 4, 8] making 8 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{32}{72} \) = \( \frac{\frac{32}{8}}{\frac{72}{8}} \) = \( \frac{4}{9} \)

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).