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 $200
i = 0.01 x $200

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

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 6 workers at the company now and that's enough to staff 2 crews so there are \( \frac{6}{2} \) = 3 workers on a crew. 4 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 4 x 3 = 12 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 12 - 6 = 6 new staff for the busy season.

You have 14 out of the total of 200 raffle tickets sold so you have a (\( \frac{14}{200} \)) x 100 = \( \frac{14 \times 100}{200} \) = \( \frac{1400}{200} \) = 7% chance to win the raffle.

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 share.

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

\( \frac{3 x 3}{4 x 3} \) - \( \frac{5 x 2}{6 x 2} \)

\( \frac{9}{12} \) - \( \frac{10}{12} \)

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

\( \frac{9 - 10}{12} \) = \( \frac{-1}{12} \) = -\(\frac{1}{12}\)

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).