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 $1,300
i = 0.03 x $1,300

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

To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{5 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 2

To multiply terms with radicals, multiply the coefficients and radicands separately:

9\( \sqrt{2} \) x 2\( \sqrt{7} \)
(9 x 2)\( \sqrt{2 \times 7} \)
18\( \sqrt{14} \)

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

4 + (3 + 5) ÷ 2 x 2 - 3²
P: 4 + (8) ÷ 2 x 2 - 3²
E: 4 + 8 ÷ 2 x 2 - 9
MD: 4 + \( \frac{8}{2} \) x 2 - 9
MD: 4 + \( \frac{16}{2} \) - 9
AS: \( \frac{8}{2} \) + \( \frac{16}{2} \) - 9
AS: \( \frac{24}{2} \) - 9
AS: \( \frac{24 - 18}{2} \)
\( \frac{6}{2} \)
3

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

\( \frac{3}{8} \) ÷ \( \frac{4}{6} \) = \( \frac{3}{8} \) x \( \frac{6}{4} \)

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

\( \frac{3}{8} \) x \( \frac{6}{4} \) = \( \frac{3 x 6}{8 x 4} \) = \( \frac{18}{32} \) = \(\frac{9}{16}\)