Answer:
114,400 and 118,976.
Step-by-step explanation:
Let's represent this using a function. Let's let:
represent the total population, and 
represent the total number of years since last year.
We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:
Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.
Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)
The present population is 114,400 people.
For next year, set y equal to 2 (2 years after last year is next year)>
The population next year will be 118,976 people.
The required domain of the inverse function is x ≤ 0. Hence option D is correct.
f(x) = -x^2
<h3>What are functions?</h3>
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
Inverse of function f(x) = -x^2
y = -x^2
x = √-y
Now,
Inverse function of f(x) is √-x
Its domain is define as less than or equal to zero.
Thus, the required domain of the inverse function is x ≤ 0.
Learn more about function here:
brainly.com/question/21145944
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Answer:
Step-by-step explanation:
Part A.
Expression 
= 10
Because 100 = 
and ![[(10)^2]^{\frac{1}{2}}=10^1=10](https://tex.z-dn.net/?f=%5B%2810%29%5E2%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D10%5E1%3D10)
[Since, 
]
Part B.
When simplified, the answer is RATIONAL.
[Since, 10 can be written as 
]
First, we are going to find the common ratio of our geometric sequence using the formula:
. For our sequence, we can infer that
and
. So lets replace those values in our formula:
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
. We know that
; we also know for our previous calculation that
. So lets replace those values in our formula:
Finally, to find the 9th therm in our sequence, we just need to replace
with 9 in our explicit formula:
We can conclude that the 9th term in our geometric sequence is <span>
1,562,500</span>
