The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{10 + 4 + 10 + 4}{4} \) = \( \frac{28}{4} \) = 7

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

5 + (3 + 4) ÷ 2 x 4 - 4²
P: 5 + (7) ÷ 2 x 4 - 4²
E: 5 + 7 ÷ 2 x 4 - 16
MD: 5 + \( \frac{7}{2} \) x 4 - 16
MD: 5 + \( \frac{28}{2} \) - 16
AS: \( \frac{10}{2} \) + \( \frac{28}{2} \) - 16
AS: \( \frac{38}{2} \) - 16
AS: \( \frac{38 - 32}{2} \)
\( \frac{6}{2} \)
3

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 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 share.

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

\( \frac{8 x 7}{6 x 7} \) - \( \frac{3 x 3}{14 x 3} \)

\( \frac{56}{42} \) - \( \frac{9}{42} \)

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

\( \frac{56 - 9}{42} \) = \( \frac{47}{42} \) = 1\(\frac{5}{42}\)

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 $300
i = 0.03 x $300
i = $9