April scored 98% on the test meaning she earned 98% of the possible points on the test. There were 400 possible points on the test so she earned 400 x 0.98 = 392 points. Each question is worth 4 points so she got \( \frac{392}{4} \) = 98 questions right.

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 $100
i = 0.08 x $100

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

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{70}{100} \) = \( \frac{70 x 20}{100} \) = \( \frac{1400}{100} \) = 14 shots

The center makes 50% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{14}{\frac{50}{100}} \) = 14 x \( \frac{100}{50} \) = \( \frac{14 x 100}{50} \) = \( \frac{1400}{50} \) = 28 shots

to make the same number of shots as the guard and thus score the same number of points.

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).