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

4\( \sqrt{75} \) - 4\( \sqrt{3} \)
4\( \sqrt{25 \times 3} \) - 4\( \sqrt{3} \)
4\( \sqrt{5^2 \times 3} \) - 4\( \sqrt{3} \)
(4)(5)\( \sqrt{3} \) - 4\( \sqrt{3} \)
20\( \sqrt{3} \) - 4\( \sqrt{3} \)

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

The equation for this sequence is:

a_n = a_n-1 + 7

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 7
a₆ = 29 + 7
a₆ = 36

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 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.4km + 20.2km + 13.0km
total distance = 33.6km

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 = 0.07 x $1,000
i = $70

There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 14 people needing transportation leaving 14 - 9 = 5 who will have to find other transportation.