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 = 0.09 x $800
i = $72

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.1km + 30.3km + 8.8km
total distance = 39.2km

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

\( \frac{9}{100} \) x 5 = \( \frac{9 \times 5}{100} \) = \( \frac{45}{100} \) = 0.45 errors per hour

So, in an average hour, the machine will produce 5 - 0.45 = 4.55 error free parts.

The machine ran for 24 - 7 = 17 hours yesterday so you would expect that 17 x 4.55 = 77.4 error free parts were produced yesterday.

To subtract these radicals together their radicands must be the same:

7\( \sqrt{48} \) - 4\( \sqrt{3} \)
7\( \sqrt{16 \times 3} \) - 4\( \sqrt{3} \)
7\( \sqrt{4^2 \times 3} \) - 4\( \sqrt{3} \)
(7)(4)\( \sqrt{3} \) - 4\( \sqrt{3} \)
28\( \sqrt{3} \) - 4\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [30, 60, 90] making 30 the smallest multiple 6 and 10 have in common.