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 $900
i = 0.02 x $900
i = $18

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

7\( \sqrt{45} \) + 8\( \sqrt{5} \)
7\( \sqrt{9 \times 5} \) + 8\( \sqrt{5} \)
7\( \sqrt{3^2 \times 5} \) + 8\( \sqrt{5} \)
(7)(3)\( \sqrt{5} \) + 8\( \sqrt{5} \)
21\( \sqrt{5} \) + 8\( \sqrt{5} \)

Now that the radicands are identical, you can add them together:

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

5 + (5 + 5) ÷ 3 x 5 - 5²
P: 5 + (10) ÷ 3 x 5 - 5²
E: 5 + 10 ÷ 3 x 5 - 25
MD: 5 + \( \frac{10}{3} \) x 5 - 25
MD: 5 + \( \frac{50}{3} \) - 25
AS: \( \frac{15}{3} \) + \( \frac{50}{3} \) - 25
AS: \( \frac{65}{3} \) - 25
AS: \( \frac{65 - 75}{3} \)
\( \frac{-10}{3} \)
-3\(\frac{1}{3}\)

If 70% of the town's 35,000 voters cast ballots the number of votes cast is:

(\( \frac{70}{100} \)) x 35,000 = \( \frac{2,450,000}{100} \) = 24,500

The mayor got 64% of the votes cast which is:

(\( \frac{64}{100} \)) x 24,500 = \( \frac{1,568,000}{100} \) = 15,680 votes.