36% of the water consumption is industrial use and 16% is personal use so (36% - 16%) = 20% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{20}{100} \) x 10,000 gallons = 2,000 gallons.

First, solve for \( \left|b - 3\right| \):

\( \left|b - 3\right| \) - 3 = -7
\( \left|b - 3\right| \) = -7 + 3
\( \left|b - 3\right| \) = -4

The value inside the absolute value brackets can be either positive or negative so (b - 3) must equal - 4 or --4 for \( \left|b - 3\right| \) to equal -4:

So, b = 7 or b = -1.

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{225mi}{75mph} \)
3 hours

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 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.5km + 40.7km + 9.3km
total distance = 50.5km

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 $1,400
i = 0.04 x $1,400
i = $56