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 $1,000
i = 0.01 x $1,000

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

Monica scored 98% on the test meaning she earned 98% of the possible points on the test. There were 320 possible points on the test so she earned 320 x 0.98 = 312 points. Each question is worth 4 points so she got \( \frac{312}{4} \) = 78 questions right.

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

\( \frac{3}{9} \) x \( \frac{2}{8} \) = \( \frac{3 x 2}{9 x 8} \) = \( \frac{6}{72} \) = \(\frac{1}{12}\)

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 36 meters so the equation becomes: 2w + 2h = 36.

Putting these two equations together and solving for width (w):

2w + 2h = 36
w + h = \( \frac{36}{2} \)
w + h = 18
w = 18 - h

From the question we know that h = 2w so substituting 2w for h gives us:

w = 18 - 2w
3w = 18
w = \( \frac{18}{3} \)
w = 6

Since h = 2w that makes h = (2 x 6) = 12 and the area = h x w = 6 x 12 = 72 m²