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).

First, solve for \( \left|c + 1\right| \):

\( \left|c + 1\right| \) + 0 = 0
\( \left|c + 1\right| \) = 0 + 0
\( \left|c + 1\right| \) = 0

The value inside the absolute value brackets can be either positive or negative so (c + 1) must equal + 0 or -0 for \( \left|c + 1\right| \) to equal 0:

So, c = -1 or c = -1.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

7a³ + 4a³
(7 + 4)a³
11a³

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 $400
i = 0.01 x $400

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

To divide fractions, invert the second fraction and then multiply:

\( \frac{2}{9} \) ÷ \( \frac{2}{8} \) = \( \frac{2}{9} \) x \( \frac{8}{2} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{9} \) x \( \frac{8}{2} \) = \( \frac{2 x 8}{9 x 2} \) = \( \frac{16}{18} \) = \(\frac{8}{9}\)