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: Answer: the second option (but you need to show the operator ^)

2005 --- 90,000
2006 --- 91,200

Factor 91,200 / 90,000 = 1.013

year    salary

2005 ---  90,000 = (90,000) (1.013)^0
2006 ---  90,000 (1.013)^1
2007 --- 90,000 (1.013)^2

f(x) = 90,000 (1.013)^x
 
 if you show the numbers in thousands 90,000 converts in 90

f(x) = 90 (1.013)^x

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The cost C, in dollars, for delivered pizza depends on the number p of pizzas ordered. The situation is represented by the function rule C equals 5 plus 9 p. Would the graph be continuous or discrete? Explain your answer.

Answers

Answer: discrete

Step-by-step explanation:

The graph would be discrete, because you can only order a whole number of pizzas. This means you cannot have 0.4 of a pizza or 3/5 of a pizza. Therefore, p can only be whole numbers, so you cannot draw a line through the points, since prices for non-whole pizzas are not possible.  

Final answer:

The graph representing the cost of delivered pizzas depending on the number ordered is discrete because you can only order a whole number of pizzas, therefore the graph will show distinct points for each whole number of pizzas.

Explanation:

The graph representing the cost C, in dollars, for delivered pizza depending on the number p of pizzas ordered would be discrete. This is because you can only order a whole number of pizzas, not a fraction of a pizza. In this case, the number of pizzas p is a discrete variable, as is the cost C. A continuous graph has points that are connected, showing all possible values, while a discrete graph consists of isolated points representing specific values. In our pizza scenario, the graph would indicate specific costs for 1 pizza, 2 pizzas, 3 pizzas, and so on. Hence, the graph will be a series of distinct points, making it a discrete graph.

Learn more about Continuous and Discrete Functions here:

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If annual college tuition and fees cost $8675, room and board cost $2235, books are $1850, and other charges are $250 per year, what is the total cost for 1 year of attendance?

Answers

well we have to do 8675 + 2235 + 1850 + 250 which equals $13,010
so the answer is $13,010
13010 because all you need to do is add all of the numbers up

If you give me 70 coins I will have three times as much money as you, but if I give you 70 coins, then you will have five times as much as me. How many coins do we each have?​

Answers

Answer:

  • I have 110 coins, you have 130 coins

Step-by-step explanation:

I have x coins and you have y coins.

According to question we set the following equations.

If you give me 70 coins I will have three times as much money as you:

  • x + 70 = 3(y - 70) ⇒ x + 70 = 3y - 210  ⇒ x = 3y - 280

If I give you 70 coins, then you will have five times as much as me:

  • y + 70 = 5(x - 70) ⇒ y + 70 = 5x - 350 ⇒ y = 5x - 420

Solve by substitution:

  • y = 5(3y - 280) - 420
  • y = 15y - 1400 - 420
  • 15y - y = 1820
  • 14y = 1820
  • y = 1820/14
  • y = 130

Find the value of x:

  • x = 3*130 - 280
  • x = 390 - 280
  • x = 110

Equation that equals 69?

Answers

My solution to the problem is as follows:

69 = ((((6^2 * 10) + sqrt((5000*3) - 600)) / 4! ) * 4 ) - log(1 * 10^11)

Actually, there are a lot of equations that would yield to the number 69, I just made it complicated. 

I hope my answer has come to your help. God bless and have a nice day ahead!


3x23=69 is the equation that has the sum 69

In order for two triangles to be similar, all corresponding pairs of angles must be __________.adjacent
congruent
proportional
supplementary

Answers

Supplementary idk if it’s this cuz I just started learning this and the teacher said all triangles equal 180 degrees so I hope this helped

Compare 4.5x10^6 and 2.1x10^8 explain how you can compare them

Answers

4.5 x 10^6 = 4,500,000
2.1 x 10^8 = 210,000,000

Therefore, 4.5 x 10^6 < 2.1 x 10^8