The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)x
f(x) = 90(1.013)x
f(x) = 91.2(2.2)x
f(x) = 90(2.2)x

Answers

Answer 1
Answer: Given:
Year 0 = 2005 = 90,000
Year 1 = 2006 = 91,200

(91,200 - 90,000)/90,000 = 1,200/90,000 = 0.013 

f(x) = 90(1.013)x
f(1) = 90(1.013)1 
f(1) = 91.170

The second option, f(x) = 90(1.013)x, is the best representation of the relationship between x and f(x).
Answer 2
Answer: Increasing Factor: 91200/90000 = 1.013

Each year, after 2005, the salary is the previous salary times 1.013

Then in 2006, when x = 1, salary = 90 * (1.013)
In 2007, when x = 2, salary = 90*(1.013)*(1.013) = 90(1.013)^2

After x years, salary = 90(1.013)^x

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Divide 32 in the ratio 5 : 3

Answers

Answer:

53.3333.

Step-by-step explanation:

Since were asking to put 32 in the form of this ratio, we need to first turn the ratio into a fraction, in our case it is 5/3. Next we multiply 32 by 5/3 or to make it more simple multiply 32 by 5 to get 160, then divide 3 to get 53.3...

Hope this helps.

In a function you cannot have to of the same x values right?

Answers

Yes, in a function you cannot have two different images for the same x.

Because if an x has more than one image, you couldn't tell what is the value of the image given that x.

What is the prime factorization of 120? A.

22 • 3 • 5


B.

23 • 3 • 5


C.

23 • 5


D.

24 • 3

Answers

A is the answer hdndnbdbfb
he prime factorization of 120 is 2*2*2*3*5 .

Which of the following represents the probability that someone whoworks full time has more than $5,000 in credit card debt?
(A) P(full time and credit card debt over $5,000)
(B) P(full time or credit card debt over $5,000)
(C) P(full time credit card debt over $5,000)
(D) P(credit card debt over $5,000 | full time)
(E) P(full time)*P(credit card debt over $5,000)

Answers

Answer:

The correct option is;

(E) P(full time) × P(credit card debt over $5,000)

Step-by-step explanation:

The given parameters are;

The mode of employment of a person = Full time

The amount of debt in the credit card = More than $5,000

The probability that a person works full time = P(full time)

The probability that the person has over $5,000 in credit card debt = P(credit card debt over $5,000)

Therefore, the probability that someone who works full time has more than $5,000 in credit card debt =  P(full time) × P(credit card debt over $5,000)

Ramon grew45 inches each year for the past 2 years. How many inches total has Ramon grown
in the past 2 years?

Answers

Answer:

90

Step-by-step explanation:

For each separate year Ramon grew 45 inches. They want to know how many inches he grew in two years. So you could find this two ways, either multiply 45 x 2 or add 45+45 and get the same answer, 90.

The line y= -3 is a reflection of the line y=5. What is the equation for the line of reflection?

Answers

Answer:

y = 1

Step-by-step explanation:

The line of reflection will be a parallel line midway between y = - 3 and y = 5

y = (-3+5)/(2) = (2)/(2) = 1

line of reflection is y = 1

Answer:

y=1

Step-by-step explanation:

the line of reflection will be a parallel line midway between y=-3and y=5

y=-3+5/2

=2/2=1