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Leona [35]
3 years ago
8

What single decimal multiplier would you use to increase by 5% followed by a 20% increase?

Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Answer:

The single decimal multiplier is 1.26.

Step-by-step explanation:

Multipliers:

For a decrease of a%, we multiply by: \frac{100-a}{100}

For a increase of a%, we multiply by: \frac{100+a}{100}

For consecutive changes, we multiply the multipliers.

Increase of 5%

Multiply by \frac{100+5}{100} = \frac{105}{100} = 1.05

Increase of 20%

Multiply by \frac{100+20}{100} = \frac{120}{100} = 1.2

Consecutive:

1.05*1.2 = 1.26

The single decimal multiplier is 1.26.

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Please try to give me the answers
gladu [14]

Answer:

a = 1, b = 2, c = 3

Step-by-step explanation:

a +  \frac{1}{b +  \frac{1}{c} }  =  \frac{10}{7}  \\  \\ a +  \frac{1}{b +  \frac{1}{c} }  = 1 +  \frac{3}{7}  \\  \\ a +  \frac{1}{b +  \frac{1}{c} }  = 1 +   \frac{1}{\frac{7}{3} }  \\  \\ a +  \frac{1}{b +  \frac{1}{c} }  = 1 +   \frac{1}{2 + \frac{1}{3} }  \\  \\ equating \: like \: terms \: on \: both \: sides \\  \\ a = 1 \\  \\ b = 2 \\  \\ c = 3

5 0
3 years ago
Factor Polynomial<br> 3y^2+y-14
iris [78.8K]

Answer:

<em>Factored Form: </em><em> </em><em>( y - 2 )( 3y + 7 )</em>

Step-by-step explanation:

<em>1. Let us first write down the problem at hand: </em>3y^2 + y - 14

<em>2. Now let us break this expression into groups:  </em>

3y^2 - 6y + 7y - 14  ⇒ ( 3y^2 - 6y )( 7y - 14 )

<em>3. Factor 3y from 3y^2 - 6y:</em>

3y^2 - 6y ⇒ 3y( y - 2 )

<em>4. Factor 7 from 7y - 14:</em>

7y - 14 ⇒ 7( y - 2 )

<em>5. Substitute Step #3, 4 ⇒ Step #2:</em>

3y( y - 2 ) + 7( y - 2 )

<em>6. Factor common term y - 2:</em>

<em>Answer: ( y - 2 )( 3y + 7 )</em>

4 0
3 years ago
Seventy-six percent of sunflower seeds will germinate into a flower, and a sample of 800 such sunflower seeds is randomly select
ollegr [7]

Answer:

12.08

Step-by-step explanation:

For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Seventy-six percent of sunflower seeds will germinate into a flower

This means that p = 0.76

Samples of 800:

This means that n = 800

The standard deviation for the number of sunflower seeds that will germinate in such samples of size 800 is:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{800*0.76*0.24} = 12.08

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3 years ago
14.6 as a mixed number
Sladkaya [172]
14 3/5 is the answer
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The owner of two hotels is ordering towels. He bought 84 hand towels and 22 bath towels for his hotel in Milford, spending a tot
Dmitrij [34]

Step-by-step explanation:

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