Margarita is hired by an accounting firm at a salary of $60,000 per year. Three years later her annual salary has increased to $70,500. Assume her salary increase linearly. Find an equation that relates her annual salary S and the number of years t that she has worked for the firm.
Answers
the salary was increased each by 10,500 dollars a year
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2/3 of my cats plus 4. How many cats does the nemesis have?
8 is 50% 0f what number
a
38
b
12
22
Od
8
Answers
Answer: Option (d).
Step-by-step explanation:
it is given that B is between A and C.
Using segment addition property, we get
The given values are AB = 46, BC = 12x, and AC = 142.
Substitute these values in the above equation.
Therefore, the correct option is (d).
lower quartile line of the box plot be placed?
Answers
Answer:48
Step-by-step explanation:
I just did it
B. 48
I Got it Correct <3
Answers
Answers
15 students
2 students must be chosen.
No repetition, no order
This is a combinations problem. We use this formula: n! / (n-r)!(r!)
n = 15 ; r = 2
15! / (15-2)!(r!) ⇒ 15! / 13! * 2! = 105
Using the combination formula, it is found that the students can be selected in 105 ways.
The order in which the students are selected is not important, hence the combination formula is used to solve this question.
What is the combination formula?
The number of possible combinations of x elements from a set of n elements is given by:
In this problem, two students are selected from a set of 15, hence the number of different orders is given by:
More can be learned about the combination formula at brainly.com/question/25821700
#SPJ5
Answers
Answer:
52
Step-by-step explanation:
Let x represent the smallest of the three numbers. Then the other two are (x+2) and (x+4). Their sum is ...
x + (x+2) +(x+4) = 162
3x = 156 . . . . . . . . . . . .subtract 6
x = 156/3 = 52
The smallest of the three numbers is 52.
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I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.
The graph will show exponential growth.
The graph will appear linear.
The domain will be the set of natural numbers.
The range will be the set of natural numbers.
The graph will show exponential decay.
Answers
Answer:
Option 3 and 5 are correct
Step-by-step explanation:
We have given a geometric series 640,160,40,10....
Common ratio of geometric series is
Here our common ratio is less than zero
It will show the graph of exponential decay
Hence, option 5 is correct.
The general term of geometric series is
Domain will be all natural numbers since, geometric series take only natural numbers.
Here, values of "n" is domain
Hence, option 3 is correct.
Range can be any positive real numbers not only natural number
Range is the value of
Hence, option 4 is discarded.
Graph can not be linear of a geometric series being exponential
Hence, option 2 is discarded.
Option 1 is discarded because it is exponential decay function so it can not be exponential growth.
Therefore, Option 3 and 5 are correct.
Answer:
The options that hold true are:
- The domain will be the set of natural numbers.
- The graph will show exponential decay.
Step-by-step explanation:
We are given a geometric sequence as:
640, 160, 40, 10, ...
Clearly we see that each term is decreasing at a constant rate as compared to it's preceding term.
Hence, the graph formed by this sequence will be a exponential graph with decay .
( since, the terms of the sequence are decreasing)
The sequence could be modeled as:
Let represents the nth term of the sequence.
Hence,
As, the sequence is geometric hence the domain will be a set of natural numbers.
but the range will be positive real numbers.
Hence, the correct option is:
The domain will be the set of natural numbers.
The graph will show exponential decay