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3 years ago

Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/16 and the common ratio is 1/4?

Mathematics

2 answers:

Flauer [41]3 years ago

7 0

Answer:

Step-by-step explanation:

E2020

ale4655 [162]3 years ago

3 0

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number

We are given that a(5)=1/16 and r=1/4 so we can say:

1/16=a(1/4)^(5-1)

1/16=a(1/4)^4

1/16=a/256

256/16=a

16=a

So the initial term is 16 so our formula is:

a(n)=16(1/4)^(n-1)

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What fraction of each gallon of purple paint is red

mixas84 [53]

Answer:

4/7 of purple paint is red paint.

Step-by-step explanation:

4 0

3 years ago

Simplify in fraction form<br> 60a+64≥80a−92

lukranit [14]

Answer:

a≤39/5

Step-by-steep explanation:

60a+64≥80a−92

Step 1: Subtract 80a from both sides.

60a+64≥80a−92

-80a -80a

−20a+64≥−92

Step 2: Subtract 64 from both sides.

−20a+64≥−92

-64 -64

−20a≥−156

Step 3: Divide both sides by -20.

−20a≥−156

a≤39/5

5 0

3 years ago

KCCO, Inc., has current assets of $6,000, net fixed assets of $25,100, current liabilities of $4,950, and long-term debt of $12,

Arlecino [84]

The value of the company's shareholder's equity account is $14,150

<u>Explanation</u>

We know that:

Current Assets = $6,000

Net Fixed Assets = $25,100

⇒ Total Assets = Current Assets + Non-current assets

Net Fixed Assets is a non-current asset

⇒ Total Assets = Current Assets + Net Fixed Assets

⇒ Total Assets = 6,000 + 25,100

⇒ Total Assets = $31,100

Current Liabilities = $4,950

Long-term debt = $12,000

⇒ Total Liabilities = Current Liabilities + Non-current Liabilities

Long-term debt is a non-current liability

⇒ Total Liabilities = Current Liabilities + Long-term debt

⇒ Total Liabilities = 4,950 + 12,000

⇒ Total Liabilities = $16,950

Now, Shareholder's Equity = Total Assets - Total Liabilities

⇒ Shareholder's Equity = 31,100 - 16,950

⇒ Shareholder's Equity = $14,150

5 0

3 years ago

A single number is chosen from the digits 1 through 30. Find the probability that the number is an even number or a number divis

ladessa [460]

Answer:

There is a 66.67% probability that the number is an even number or a number divisible by 3.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

These are the following even numbers from 1 through 30: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30

There are 15 even numbers.

These are the following numbers divisible by 3 from 1 through 30:

3,6,9,12,15,18,21,24,27,30

We only count the odd numbers here, since we have already counted the even ones.

There are 5 odd numbers divisible by 3.

So there are 20 numbers that are even numbers or divisible by 3. So there are 20 desired outcomes.

Total outcomes:

There are 30 numbers from 1 through 30. So the number of total outcomes is 30.

Find the probability that the number is an even number or a number divisible by 3.

$P = \frac{2}{3} = 0.6667$

There is a 66.67% probability that the number is an even number or a number divisible by 3.

7 0

3 years ago

Given two regular shapes, find the sum of the pink angles

son4ous [18]

Answer:

180

Step-by-step explanation:

that is my answer it will help you

4 0

3 years ago