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Alexeev081 [22]
3 years ago
7

Which best describes the relationship between the successive terms in the sequence shown?

Mathematics
2 answers:
Alex Ar [27]3 years ago
7 0

Given series is 2.4,-4.8,9.6,-19.2

To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.

Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2

Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4

Since those common differences are not equal the given series does not have common difference at all.

To check if it has common ratio or not let us find few ratios of consecutive terms.

Common ratio of first 2 terms = \frac{2nd term}{first term} = \frac{-4.8}{2.4} = -2

Common ratio of 2nd and 3rd terms = \frac{3rd term}{2nd term} = \frac{9.6}{-4.8} = -2.0

So, the given series has common ratio as -2.0

Arte-miy333 [17]3 years ago
5 0

Answer:

Sequence:  Geometric

Common  ratio: -2.0

Proof/Check:

-19.2/9.6 = -2.0

9.6/-4.8 = -2.0

-4.8/2.4 = 2.0

Step-by-step explanation:

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30 is 60% of which of the following numbers?
zhenek [66]

Answer:

50

Step-by-step explanation:

30 divided by 0.6 equals 50

hope i helped

4 0
3 years ago
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Jeremiah currently has an account balance of $1624.35. His initial deposit on the account was $975 and it earned 3.7% simple int
Naya [18.7K]

Current Account Balance = $1,624.35

Initial Deposit = $975

Interest Rate (Simple) = 3.7% simple interest

Interest Earned = Current Account Balance - Initial Deposit

⇒ Interest Earned = $1,624.35 - $975

⇒ Interest Earned = $649.35

Now the Formula for Simple Interest is:

Simple Interest = ×\frac{\text{P x R x T}}{100}, where P is the initial deposit, R is the rate of interest and T is the time period

⇒ 649.35 = \frac{\text{975 x 3.7 x T}}{100}

⇒ T = \frac{\text{649.35 x 100}}{\text{975 x 3.7}}

⇒ T = 18

Hence, Jeremiah has had the account for 18 years.

6 0
2 years ago
An employee earns $195 for 15 hours of work. Assuming he is paid by the hour, how much will the employee earn in 8 hours?
vampirchik [111]

Answer:

$104

Step-by-step explanation:

  1. First, find the employee’s hourly rate.  You can do this by dividing the total amount earned by the total hours worked. \frac{195}{15}=13
  2. Now that you know that the employee’s hourly rate is $13 per hour, you can multiply the hourly rate by the number of hours. 13*8=104
7 0
3 years ago
PLZZZZZ HELP!!!
WINSTONCH [101]
50%

The very left point on the box of a box plot is the first quartile, the very right. The very left and right points are the minimum and maximum and the middle line is the second quartile.  Since quarters each equal 25%, two quartiles, the data between the first and third quartile, would equal 50%. This is also evident by looking at the graph itself in this problem.
4 0
3 years ago
Adam is building a rectanglar swimming pool. The perimeter of the pool must be no more then 120 feet. If the length of the pool
jasenka [17]

Answer:

W\leq 38\ ft

The maximum width must be 38\ ft

Step-by-step explanation:

Let

L ----> the length of the rectangular pool

W ---> The width of the rectangular pool

we know that

P\leq 120\ ft  

P=2(L+W)

so

2(W+L)\leq 120 ----> inequality A

we have

L=22\ ft

substitute the value of L in the inequality A

2(W+22)\leq 120

simplify

(W+22)\leq 60

W\leq 60-22

W\leq 38\ ft

The maximum width must be 38\ ft

3 0
3 years ago
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