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Alex
3 years ago
10

the first three terms of an arithmetic progression is (x + 1), (4 x - 2) and 6 x - 3 if the last term is 18 find the value of x​

Mathematics
1 answer:
lbvjy [14]3 years ago
6 0

Answer:

2

Step-by-step explanation:

<u>Since it is AP, the common difference is same for any term:</u>

  • (4x - 2) - (x + 1) = (6x - 3) - (4x - 2)
  • 3x - 3 = 2x -1
  • 3x - 2x = 3 - 1
  • x= 2

<u>The first 3 terms are:</u>

  • 3, 6, 9

<u>Since the last term is 18, it means this AP has 6 terms:</u>

  • {3, 6, 9, 12, 15, 18}

<u>Answer: </u>as we need to find the value of x only, it is = 2

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Edison has a sales job and receives $45,448 as his annual pay, plus commission. His company pays him a commission of 15% on his
11111nata11111 [884]

Answer:

Edison will be paid $15,112 for 3 months

Step-by-step explanation:

Edison receives an annual fixed pay = $45,448.

Monthly pay  = 45,448/12 = $3787.33

3-month salary = $3787.33 *3 = $11.362

Commission = 15%

Total sale = $25,000 for the first 3 months.

Commission amount = 25,000*0.15 = $3750

Therefore, total pay that Edison received during first 3 months= salary + commission

= $11,362 + $3750

= $15,112

Thank you.


4 0
3 years ago
Lesson 1 Homework
Nonamiya [84]

128

This question requires us to solve an infinite GP

As we can see the first unit is 16 wide, then 8, then 4 and so on; this can be written as  

64(1,0.5,0.25,0.125,....\infinity∞)  (64 used as 16*4 = 64 is the area of the first rectangle)

We have  S∞=a/(1-r) where a is the first term and r is the common ratio of the GP for summing an infinite GP.

here we have  

a=64  \\   r=0.5

Therefore

S∞=\frac{64}{1-0.5} \\\\=\frac{64}{0.5} \\\\=128

Learn more about GP here

brainly.com/question/16954106

#SPJ9

5 0
1 year ago
What is five sixths of sixty
mart [117]
First you must change 60 into a fraction by putting it over 1
\frac{5}{6}×\frac{60}{1}=\frac{300}{6}
Then you divide the numerator(top) by the denominator(bottom) to get the answer
300÷6=50
Your answer is 50
6 0
3 years ago
What percent more is 7000 than 5500
grin007 [14]

7000 more than 5500 by 7000-5500=1500

So the percent more=\frac{1500}{5500}×100

=\frac{300}{11}%

3 0
3 years ago
A radio station gives away $15 to every 15th caller, $25 to every 25th caller, and free concert tickets to every 100th caller. W
VashaNatasha [74]
The answer is 300th caller.
to find the answer you have to take the LCM of all three numbers of callers that are 15,25 and 100
so, lets take the LCM
5     15, 25, 100
----------------------
5      3, 5, 20
-----------------------
3      3, 1, 4
----------------------
4       1, 1, 4
-----------------------
          1, 1, 1
Now ,multiply the numbers 5,5, 3 and 4.
5 x 5 x 3 x 4 = 25 x 12 = 300

7 0
3 years ago
Read 2 more answers
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