You have 28 out of the total of 350 raffle tickets sold so you have a (\( \frac{28}{350} \)) x 100 = \( \frac{28 \times 100}{350} \) = \( \frac{2800}{350} \) = 8% chance to win the raffle.

The amount of flour you need is (3\(\frac{1}{4}\) - \(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{26}{8} \) - \( \frac{4}{8} \)) cups
\( \frac{22}{8} \) cups
2\(\frac{3}{4}\) cups

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 65% the radius (and, consequently, the total area) increases by \( \frac{65\text{%}}{2} \) = 32\(\frac{1}{2}\)%

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 $100
i = 0.07 x $100

No payments were made so the total amount due is the original amount + the accumulated interest:

If 57% of the town's 13,000 voters cast ballots the number of votes cast is:

(\( \frac{57}{100} \)) x 13,000 = \( \frac{741,000}{100} \) = 7,410

The mayor got 51% of the votes cast which is:

(\( \frac{51}{100} \)) x 7,410 = \( \frac{377,910}{100} \) = 3,779 votes.