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 = 0.01 x $1,100

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

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

4 + (4 + 2) ÷ 2 x 2 - 5²
P: 4 + (6) ÷ 2 x 2 - 5²
E: 4 + 6 ÷ 2 x 2 - 25
MD: 4 + \( \frac{6}{2} \) x 2 - 25
MD: 4 + \( \frac{12}{2} \) - 25
AS: \( \frac{8}{2} \) + \( \frac{12}{2} \) - 25
AS: \( \frac{20}{2} \) - 25
AS: \( \frac{20 - 50}{2} \)
\( \frac{-30}{2} \)
-15

The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. 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 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

9y⁷ - 2y⁷
(9 - 2)y⁷
7y⁷

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.