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 $1,100
i = 0.09 x $1,100

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

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

The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. 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 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

If 40% of the town's 50,000 voters cast ballots the number of votes cast is:

(\( \frac{40}{100} \)) x 50,000 = \( \frac{2,000,000}{100} \) = 20,000

The mayor got 79% of the votes cast which is:

(\( \frac{79}{100} \)) x 20,000 = \( \frac{1,580,000}{100} \) = 15,800 votes.