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 = 0.04 x $1,000
i = $40

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

\( \frac{4}{7} \) x \( \frac{2}{7} \) = \( \frac{4 x 2}{7 x 7} \) = \( \frac{8}{49} \) = \(\frac{8}{49}\)

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

\( \frac{2}{100} \) x 5 = \( \frac{2 \times 5}{100} \) = \( \frac{10}{100} \) = 0.1 errors per hour

So, in an average hour, the machine will produce 5 - 0.1 = 4.9 error free parts.

The machine ran for 24 - 9 = 15 hours yesterday so you would expect that 15 x 4.9 = 73.5 error free parts were produced yesterday.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{7a^5}{5a^4} \)
\( \frac{7}{5} \) a^{(5 - 4)}
1\(\frac{2}{5}\)a

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.