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 $500
i = 0.07 x $500
i = $35

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

\( \frac{40\sqrt{9}}{8\sqrt{3}} \)
\( \frac{40}{8} \) \( \sqrt{\frac{9}{3}} \)
5 \( \sqrt{3} \)

The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.

If 79% of the town's 47,000 voters cast ballots the number of votes cast is:

(\( \frac{79}{100} \)) x 47,000 = \( \frac{3,713,000}{100} \) = 37,130

The mayor got 61% of the votes cast which is:

(\( \frac{61}{100} \)) x 37,130 = \( \frac{2,264,930}{100} \) = 22,649 votes.

54% of the water consumption is industrial use and 22% is personal use so (54% - 22%) = 32% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{32}{100} \) x 45,000 gallons = 14,400 gallons.