Answer:
the annual growth rate is 15.47 %
Step-by-step explanation:
Given the data in the question;
Internet users grew from 25.8 million to 70.6 million,
from the year 2009 to the year 2016.
Using geometric mean, Annual growth rate = ?
To determine the average growth rate of a time series using geometric mean, we use the following formula;
= [
Xₙ / X₀
] - 1
where Xₙ is the data value of the last year { 70.6 million }
X₀ is the data value for the first year { 25.8 million }
n is the sample size or the time difference, ( 2016 - 2009 = 7 )
so we substitute;
= [
70.6 / 25.8
] - 1
= [
2.736434
] - 1
= [ 1.15466 ] - 1
= 0.15466
= ( 0.15466 × 100 )%
= 15.47 %
Therefore, the annual growth rate is 15.47 %
Answer:


Step-by-step explanation:
Represent Celsius with C and Fahrenheit with F.
So, we have:


Solving (a): Represent as a linear equation
First, we calculate the slope:

This gives:



The linear equation is then calculated using:

Where




Make F the subject


Solving (b): The value of F when C = 30
Substitute 30 for C in 



Answer:
A
Step-by-step explanation:
The constant of proportionality is the ratio between the two proportional variables in a directly proportional relationship. In this case, the variables are
and
.
To find the constant of proportionality, all we have to do is divide any value of
by its corresponding value of
. Let's take the values in the first row of the table. We know that
and
, so the constant of proportionality is
. Hope this helps!
Answer:
Third option: 12x^2+8x+25
Step-by-step explanation:
s1=8x^2
s2=4x^2+15
s3=8x+10
Total perimeter of the pool edge: P
P=s1+s2+s3
Replacing s1, s2 and s3 in the formula above:
P=(8x^2)+(4x^2+15)+(8x+10)
P=8x^2+4x^2+15+8x+10
Adding like terms:
P=12x^2+8x+25
It is a right Right Triangle because, they have two equal sides.