A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 have in common.

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] 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 [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 share.

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

\( \frac{5 x 4}{6 x 4} \) - \( \frac{3 x 3}{8 x 3} \)

\( \frac{20}{24} \) - \( \frac{9}{24} \)

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

\( \frac{20 - 9}{24} \) = \( \frac{11}{24} \) = \(\frac{11}{24}\)

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 $900
i = 0.04 x $900

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

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.