Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{96}{8} \) = 12

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 2 and 8 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{3 x 4}{2 x 4} \) - \( \frac{2 x 1}{8 x 1} \)

\( \frac{12}{8} \) - \( \frac{2}{8} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{12 - 2}{8} \) = \( \frac{10}{8} \) = 1\(\frac{1}{4}\)

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 $1,200
i = 0.06 x $1,200

No payments were made so the total amount due is the original amount + the accumulated interest:

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-1c⁷ + 9c⁷
(-1 + 9)c⁷
8c⁷

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (4 + 4) ÷ 4 x 5 - 5²
P: 2 + (8) ÷ 4 x 5 - 5²
E: 2 + 8 ÷ 4 x 5 - 25
MD: 2 + \( \frac{8}{4} \) x 5 - 25
MD: 2 + \( \frac{40}{4} \) - 25
AS: \( \frac{8}{4} \) + \( \frac{40}{4} \) - 25
AS: \( \frac{48}{4} \) - 25
AS: \( \frac{48 - 100}{4} \)
\( \frac{-52}{4} \)
-13