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lions [1.4K]
4 years ago
8

Help with this question

Mathematics
1 answer:
ElenaW [278]4 years ago
5 0
Monthly- $15,600
biweekly- $26,000
weekly- $28,600
semimonthly- $19,200

Im pretty sure these are correct. Monthly is obviously once a month, biweekly is once every two months. Weekly is once a month and semimonthly is twice a month.
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the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t
777dan777 [17]

Answer:

  • ratio: 2/3
  • sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

  a2 = a1·r^(2-1) = a1·r

  a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

  a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

  r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

  a2 = 18 = a1·(2/3)

  a1 = (3/2)·18 = 27

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The sum of the first 6 terms is ...

  Sn = a1·(r^n -1)/(r -1)

  S6 = 27·((2/3)^6 -1)/(2/3 -1)

  S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

  27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0
4 years ago
A quick quiz consists of a multiple-choice question with 5 possible answers followed by a multiple-choice question with 5 possib
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Answer:

1/25

Step-by-step explanation:

P of both answers are correct =

P first question is answered correct and P second question is answered correct

in probability,  and = multiplication

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P second question is answered correct = 1/5

P of both answers are correct = (1/5) · (1/5) = 1/25

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Answer:

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Step-by-step explanation:

The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:

\frac{dy}{dx} =\frac{3.7436-3.4096}{6.5-5.5} =0.334

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Answer:

c

Step-by-step explanation:

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