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 $100
i = 0.05 x $100

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

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

vans = \( \frac{95}{6} \) = 15\(\frac{5}{6}\)

So, it will take 15 full vans and one partially full van to transport the entire team making a total of 16 vans.

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

5c² x 8c⁶
(5 x 8)c^{(2 + 6)}
40c⁸

Jennifer scored 94% on the test meaning she earned 94% of the possible points on the test. There were 300 possible points on the test so she earned 300 x 0.94 = 282 points. Each question is worth 3 points so she got \( \frac{282}{3} \) = 94 questions right.

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 5 and 9 share.

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

\( \frac{4 x 9}{5 x 9} \) - \( \frac{8 x 5}{9 x 5} \)

\( \frac{36}{45} \) - \( \frac{40}{45} \)

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

\( \frac{36 - 40}{45} \) = \( \frac{-4}{45} \) = -\(\frac{4}{45}\)