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.

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 40mph \times 4h \)
160 miles

First, solve for \( \left|y - 3\right| \):

\( \left|y - 3\right| \) - 2 = 6
\( \left|y - 3\right| \) = 6 + 2
\( \left|y - 3\right| \) = 8

The value inside the absolute value brackets can be either positive or negative so (y - 3) must equal + 8 or -8 for \( \left|y - 3\right| \) to equal 8:

So, y = -5 or y = 11.

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

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 $700
i = 0.03 x $700

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