10.20*8= 81.60
10.20*.5= 5.10
add
81.60+5.10= 86.70
ANSWER: Peter pays $86.70 for the carpet
Answer:
A
Step-by-step explanation:
Change the mixed numbers to improper fractions
7
= 
6
= 
The subtraction is then
- 
Both fractions have a common denominator so subtract the numerators leaving the denominator
=
=
→ A
The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
The equation is given as:

The possible next steps are:
1. Expand the equation as follows

2. Express x^2 -16 as a difference of two squares as follows

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give 
This is so, because the question says Amy is trying to solve for variable x.
This step will ensure that she gets the possible values of x, unlike expanding the whole equation .
Hence, the correct next step is 
Read more about equations at:
brainly.com/question/7674413
This is an exponential decay problem.
Using the equation Y = a *(1-rate)^time
where Y is the future value given as 12,000 and a is the starting value given as 13,000.
The rate is also given as 5%.
The equation becomes:
12,000 = 13,000(1-0.05)^x
12,000 = 13,000(0.95)^x
Divide each side by 13000:
12000/13000 = 0.95^x/13000
12/13 = 0.95^x
Use the natural log function:
x = ln(12/13) / ln(0.95)
x = 1.56 years. ( this will equal 12,000
Round to 2 years it will be less than 12000.
Answer:
1) There are two definitions Charlotte came up with to define the quantity:
• Number of new subscribers divided by number of posts
• Number of new subscribers divided by number of words
2) No. The definitions have opposite results