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makvit [3.9K]
3 years ago
7

in a survey 3/10 people named blue as their favorite color. one out of the 5 named red. if 1,200 people were included in the sur

vey, how many named blue or red as there favorite color
Mathematics
1 answer:
Brut [27]3 years ago
5 0

The integer for one out of 5 is 1/5.

Knowing this, we simply do

(3/10 + 1/5)*1200

(3/10 + 2/10) * 1200

5/10 * 1200

1/2 * 1200 = 600.

600 people named red and blue as their favorite color.

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I would have to say D.
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A scientist is determining how fast a weed grows. Every two days the scientist measures the height of the weed. How tall will th
HACTEHA [7]

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d.

Step-by-step explanation:

8 0
2 years ago
Can someone pls explain this?
ryzh [129]

Answer:

A piecewise function.

Step-by-step explanation:

The problem you showed is a <em>piecewise function.</em>

In this problem, you have to plug in 3 for the value x.

However, if you take a look at the conditions that value x has, it never says that x can equal 3. <em>Thus, this function cannot be true.</em>

<em>Way to check this input is undefined: </em>

Plug in 3 for the variable x. On the first function, your output will be 4. On the second function, your output will be 8.

According to the definition of a function, a function can have many inputs but only one output. In this case, this function has one input, that is 3, but produces two outputs.

8 0
2 years ago
Paladin furnishings generated $4 million in sales during 2021, and its year end total assets were $3.2 million. also, at year en
ElenaW [278]

Without having to raise funds externally sales could increase by $84,507.04.

Given that $4 million sales in 2021 and in end of the year total assets are $3.2, current liabilities are $500,000, payable notes are $200,000, accounts payable is $200,000 and accrued liabilities are $100,000 and in 2022 assets must increase by $.80 for every $1.00 increase in sales.

The amount of sales increase that the company can achieve without having to raise funds externally is calculated by multiplying the current year sales with the self-supporting growth rate.

Current Year Sales = $4,000,000

Profit Margin = 3.00%

Dividend Payout Ratio = 50%

Therefore, the Retention Ratio = 50%

Total Spontaneous Liabilities is, $200,000 + $100,000=$300,000

Last Year Total Assets = $3,200,000

Therefore, the Self-supporting Growth Rate=Addition to Retained Earnings÷[Total Assets–Total Spontaneous Liabilities-Addition to Retained Earnings]

= [Last year sales×Profit Margin×(1-Dividend Payout Ratio)]÷[Total Assets-Total Spontaneous Liabilities-Addition to Retained Earnings]

= [$4,000,000×0.03×(1–0.50)]÷[$3,200,000-$300,000–{[$4,000,000×0.04×(1–0.050)}]

= $60,000÷[$3,200,000-$300,000-$60,000]

= $80,000÷$2,840,000

= 0.02112676 or 2.112676%

Therefore, the increase in sales that the company can achieve without having to raise funds externally = Last Year Sales×Self-supporting Growth Rate

= $4,000,000×2.112676%

= $84,507.04

Hence, the Increase in Sales so the company achieve without having to raise funds externally $84,507.04”

Learn about profit margin from here brainly.com/question/5193190

#SPJ4

7 0
2 years ago
What I the equation in standard form of the line that passes through the points(4,-8) and has a slope of 1/4
valentinak56 [21]

Answer:

Standard form of the line with point (4,-8) and slope of 1/4  is

-x + 4 y = -36.

Step-by-step explanation:

The slope of the line equation = 1/4

The point is given as (4,-8).

Now, by POINT SLOPE formula,

The line equation  with slope m  nad point (x0,y0) is given as:

(y - y0)  = m (x -x0)

So, the line equation here is given as

y -(-8)  =  \frac{1}{4} (x -4)\\\implies 4(y + 8)  = x - 4\\4 y + 32 = x - 4\\4y = x - 36

Now, the standard form of line equation is Ax + By  = C

Here,  4y = x - 36   ⇒  4y - x = -36

or, -x + 4y = -36 is the standard form.

Hence,standard form of the line with point (4,-8) and slope of 1/4

is -x + 4y = -36.

3 0
3 years ago
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