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 $1,500
i = 0.05 x $1,500

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

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).

A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:

49,000 fans x \( \frac{3}{4} \) = \( \frac{147000}{4} \) = 36,750 fans.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{c^8}{2c^3} \)
\( \frac{1}{2} \) c^{(8 - 3)}
\(\frac{1}{2}\)c⁵

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

\( \frac{2}{5} \) ÷ \( \frac{4}{8} \) = \( \frac{2}{5} \) x \( \frac{8}{4} \)

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

\( \frac{2}{5} \) x \( \frac{8}{4} \) = \( \frac{2 x 8}{5 x 4} \) = \( \frac{16}{20} \) = \(\frac{4}{5}\)