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3 years ago

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:

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

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3 years ago

Factor Polynomial 3y^2+y-14

iris [78.8K]

Answer:

Factored Form: ( y - 2 )( 3y + 7 )

Step-by-step explanation:

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

2. Now let us break this expression into groups:

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

3. Factor 3y from 3y^2 - 6y:

3y^2 - 6y ⇒ 3y( y - 2 )

4. Factor 7 from 7y - 14:

7y - 14 ⇒ 7( y - 2 )

5. Substitute Step #3, 4 ⇒ Step #2:

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

6. Factor common term y - 2:

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

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:

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