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3 years ago

in ten years, the population increases from 20,000 to 23,000. Find the actual increase and the percentage increase.

Mathematics

2 answers:

shusha [124]3 years ago

7 0

Answer:

3,000 is the numerical increase and 15% is the percentage increase.

Step-by-step explanation:

It's quite easy to see that 3,000 more people were added to 20,000, since 23,000 - 20,000 = 3,000. To find the percentage, simply take 20,000 and divide it by the additional increase number, which is in this case 3,000. 20,000/3,000 = 0.15. Converting decimals to percentages, we take the digits behind the decimal and add the percent sign since 100 is equal to 1 or the whole. So 0.15 = 15%, which is the percent increase.

Vanyuwa [196]3 years ago

6 0

Answer:

actual amount of increase is 3000

% increase is 15%

Step-by-step explanation:

The actual amount of increase is

23,000-20,000= 3,000

To find the percent increase, take the actual amount of increase and divide by the original amount

3,000/20000=.15

Change to percent

15%

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son4ous [18]

Answer:

180

Step-by-step explanation:

75% times 240 would be 180

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3 years ago

Read 2 more answers

Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi

Leokris [45]

Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

$s = \sqrt{\dfrac{875.5}{7}} = 11.18$

$\text{ Sample variance} = s^2 = 125.07$

Population:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

$\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46$

$\text{ Population variance} = \sigma^2 = 109.44$

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3 years ago

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wolverine [178]

Answer:

Step-by-step explanation:

Inverse trig functions are used to find angles.

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Michael's bank account opened with $100. 5 weeks after opening, his account balance was $250.

cupoosta [38]

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2 years ago

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natta225 [31]

Answer:

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Step-by-step explanation:

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2 years ago