If 71% of the town's 30,000 voters cast ballots the number of votes cast is:

(\( \frac{71}{100} \)) x 30,000 = \( \frac{2,130,000}{100} \) = 21,300

The mayor got 67% of the votes cast which is:

(\( \frac{67}{100} \)) x 21,300 = \( \frac{1,427,100}{100} \) = 14,271 votes.

To simplify a radical, factor out the perfect squares:

\( \sqrt{80} \)
\( \sqrt{16 \times 5} \)
\( \sqrt{4^2 \times 5} \)
4\( \sqrt{5} \)

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

9\( \sqrt{2} \) x 9\( \sqrt{2} \)
(9 x 9)\( \sqrt{2 \times 2} \)
81\( \sqrt{4} \)

Now we need to simplify the radical:

81\( \sqrt{4} \)
81\( \sqrt{2^2} \)
(81)(2)
162

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 45% the radius (and, consequently, the total area) increases by \( \frac{45\text{%}}{2} \) = 22\(\frac{1}{2}\)%

By buying two shirts, Ezra will save $16 x \( \frac{15}{100} \) = \( \frac{$16 x 15}{100} \) = \( \frac{$240}{100} \) = $2.40 on the second shirt.