960 divided by 15 is 64. The unit rate means one so you are trying to get it to 1 second so just do 15 divided by 15 which is 1, then 960 divided by 15 which is 64

7 0

2 years ago

Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.

Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

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6 0

1 year ago

Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans.If he has 18 shirts, how many pair

KIM [24]

9 jeans. 2 shirts per jean. And 18 divided by 2= 9

6 0

3 years ago

Ryan bought 3 books and a magazine . He paid $30 and relieved $5 change if the magazine cost twice as much as each book, find th

Montano1993 [528]

The books are $5, and the magazines are $10. I’m not sure which way you want it explained but since magazines are twice the price of books, you can solve the equation 3b + 2b = 25. This gives you b=5 which you just multiply by 2 giving you the price of a magazine.

8 0

3 years ago

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