Answer:
The population reaches 7 million people in the year 2032.
Step-by-step explanation:
We have that

Using this model, find the year when the population reaches 7 million people.
This is x years after 2000, in which x is found when f(x) = 7. So




We have to following logarithm rule

So we apply log to both sides of the equality




2000 + 32.66 = 2032
The population reaches 7 million people in the year 2032.
Answer:
67/5 = 13 2/5
Step-by-step explanation:
Step 1: <u>Define/explain.</u>
An easier way to solve this is by changing the mixed fractions to improper fractions.
To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.
Mixed fraction - a fraction with a whole number.
Improper fraction - a fraction with a numerator larger than the denominator.
Step 2: <u>Solve.</u>


From here, add as usual.

Step 3: <u>Conclude.</u>
You can change the improper fraction to a mixed fraction if you'd like.
To do this, divide the numerator by the denominator.
The amount of times the numerator evenly goes into the denominator is the whole number.
The amount of remaining numbers in the denominator.
The numerator remains the same.

I, therefore, believe the answer to this is 13 2/5.
The equation of the rotating light is an illustration of a secant function
The equation that represents the distance between the center of the circle and the light source is 
<h3>How to determine the equation</h3>
The equation is a secant function represented by

Where:
A represents the amplitude
So, we have:
--- the distance of the light from each square wall
B represents the period, and it is calculated as:

The light completes its full rotation every 6 seconds.
This means that,
T = 6
So, we have:

Simplify

Substitute values for A and B in 

Rewrite as a function

Hence, the equation that represents the distance between the center of the circle and the light source is 
Read more about trigonometry functions at:
brainly.com/question/1143565
Answer:
11 meters
Step-by-step explanation:
In 1852 its height was 29.002ft or 8.839m, while the measuring in 1999 said that it was 29.035ft or 8.850m. That means that it is taller by some 11 meters or 33 feet. That is because it keeps increasing its size since its positioned on such plates that hit each other.