Answer:
The rate of change in number of subscriber for the six years is 3.62%
Step-by-step explanation:
Given as :
The initial subscriber of newspaper = p = 10225
The subscriber of newspaper after 6 years of publish = P = 8200
The time period = t = 6 years
Let The average yearly rate of change = r%
<u>Now, According to question</u>
The subscriber of newspaper after n years = initial subscriber × 
Or, P = p × 
Or, 8200 = 10225 × 
Or,
= 
Or, 0.80195 = 
<u>Taking power
both side</u>
So,
= 
Or, 0.9638 = 1 - 
Or,
= 1 - 0.9638
Or,
= 0.0362
Or, r = 0.0362 × 100
i.e r = 3.62
So, The rate of change in subscriber = 3.62%
Hence, The rate of change in number of subscriber for the six years is 3.62% . Answer
Answer:

Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z----> the scale factor
x----> corresponding side of the larger trapezoid
y----> corresponding side of the smaller trapezoid

we have


substitute

step 2
Find the area of the larger trapezoid
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z----> the scale factor
x----> area of the larger trapezoid
y----> area of the smaller trapezoid

we have


substitute



Answer:
= 1.75
Step-by-step explanation:
7/6 divided by 6
= 7/36
7/36 = x/9
Cross multiply fractions:
36x = 63
Divide each side by 36:
x = 7/4 or 1.75
Answer:
Sally is not right
Step-by-step explanation:
Given the two sequences which have their respective
terms as following:
Sequence A. 
Sequence B. 
As per Sally, there exists only one number which is in both the sequences.
To find:
Whether Sally is correct or not.
Solution:
For Sally to be correct, we need to put the
terms of the respective sequences as equal and let us verify that.

When we talk about
terms,
here is a whole number not a fractional number.
But as per the statement as stated by Sally
is a fractional number, only then the two sequences can have a number which is in the both sequences.
Therefore, no number can be in both the sequences A and B.
Hence, Sally is not right.
<u>Answers</u>
19 fiction books
7 nonfiction books
<u>Explanation</u>
x + y = 26 ............................................. (i)
x – y = 12 ............................................ (ii)
Elliot added the two equations and the result was
2x = 38.
Dividing both sides by 2;
x = 19
There are 19 fiction books.
Substituting x in equation (i),
x + y = 26 when x = 19
19 + y = 26
y = 26 - 19
= 7
There are 7 nonfiction books