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Studentka2010 [4]
2 years ago
11

Alexander was offered a job that paid a salary of $24,000 in its first year. The salary was set to increase by 4% per year every

year. If Alexander worked at the job for 5 years, what was the total amount of money earned over the 5 years, to the nearest whole number?
Mathematics
1 answer:
qwelly [4]2 years ago
5 0

9514 1404 393

Answer:

  $129,992

Step-by-step explanation:

The sum of a geometric series is given by ...

  Sn = a1·(r^n -1)/(r -1)

Here, the first term is 24000, and the growth factor r is 1+4% = 1.04. The sum is then ...

  S5 = 24000·(1.04^5 -1)/(1.04 -1) ≈ 129992

The total earned over 5 years was $129,992.

___

A spreadsheet can list the annual salaries and add them up. The salary each year is 1.04 times that of the previous year. That is shown in the attachment.

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Can you help me please? ​
Anarel [89]

Answer:

C(x)=25x+6000

b=2250

Step-by-step explanation:

C(x)=mx+b

m-marginal cost

x-no items

finding B

C(x)mx+b

6000=25(130)+b

b=2250

General substitution

C(x)=25x+6000

8 0
3 years ago
What is the y-intercept of y=4x-7 & 7x+2y=18
bixtya [17]

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

5 0
2 years ago
This is a 30-60-90 triangle.<br> a<br> What is the measure of x?<br> Х<br> 43<br> X=<br> = [ ?
kherson [118]

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in two steps; solving and theory.

I'll go and start off with the theory part!

Theory

We know that in geometry there are many types of triangles that have various different angles. With that, there are a few special triangles that people have made formulas for, one being a 30, 60, and 90 degree triangle.

The theorem states that the hypotenuse is 2x, the side opposite to 60 degrees is x\sqrt{3}, and the bottom is x.

Solving

We can solve this problem in a step, we just need to know what the theorem said and implement it here, since we know the values of the sides of the triangle, we can solve it by finding out the opposite side and applying the theorem rules.

If we look at the graph, we can see that the x part of the side opp. of 60 degrees is 4, that means that x would be double of 4, which is 8.

Therefore your answer would be: x=8

Cheers!

8 0
2 years ago
What is the median value of the data set shown on the line plot? Enter your answer in the box. A line plot with twenty-two data
Bogdan [553]
Answer: the median is 6.

Please see the picture attached.

A line plot shows the number of occurrences (crosses) of each number of a data set.

The median is the central value, the middle number, of a data set ordered from least to greatest. When there are two middle numbers, the median will be the mean between the two.

In order to find the median, look at the line plot: count how many values you have (22), then add 1 (23) and divide by two (11.5). Since we have an even number of values, we will have two middle numbers, which will be in the eleventh and twelfth position.

Count the crosses from the left, the eleventh and twelfth crosses both correspond to the number 6, therefore the median is 6.

You can also write all the numbers in increasing order and divide them into two equal groups:
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6 | 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11

The median will be the average between the two central numbers, therefore 6 (again).


8 0
3 years ago
Read 2 more answers
Where is the answer to the expression 4 − 8 located on a horizontal number line?
Lady_Fox [76]

Answer:

8 units to the left of 4

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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