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 $800
i = 0.02 x $800

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

To fill a 4 gallon tank exactly halfway you'll need 2 gallons of fuel. Each fuel can holds 1 gallons so:

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

If the tiger has consumed 84 pounds of food in 7 days that's \( \frac{84}{7} \) = 12 pounds of food per day. The tiger needs to consume 156 - 84 = 72 more pounds of food to reach 156 pounds total. At 12 pounds of food per day that's \( \frac{72}{12} \) = 6 more days.

To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 8 factors [1, 2, 3, 4, 6, 8, 12, 24] making 24 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{24}{72} \) = \( \frac{\frac{24}{24}}{\frac{72}{24}} \) = \( \frac{1}{3} \)

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

6z⁶ - 2z⁶
(6 - 2)z⁶
4z⁶