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 $600
i = 0.01 x $600

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

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

\( \frac{10\sqrt{27}}{5\sqrt{9}} \)
\( \frac{10}{5} \) \( \sqrt{\frac{27}{9}} \)
2 \( \sqrt{3} \)

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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{4}{100} \) x 10 = \( \frac{4 \times 10}{100} \) = \( \frac{40}{100} \) = 0.4 errors per hour

So, in an average hour, the machine will produce 10 - 0.4 = 9.6 error free parts.

The machine ran for 24 - 8 = 16 hours yesterday so you would expect that 16 x 9.6 = 153.6 error free parts were produced yesterday.

There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 11 people needing transportation leaving 11 - 8 = 3 who will have to find other transportation.