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Aleksandr-060686 [28]
2 years ago
9

Laurel is a huge fan of hats, she likes all kinds of hats and recently started collecting them. She already owns 3 hats. She pla

ns on buying a hat according to the season every month. Based on this information answer the following Questions.
What is the linear function?
Mathematics
1 answer:
horsena [70]2 years ago
7 0

Answer:

y=3+x

Step-by-step explanation:

If you are ever unsure about how to proceed with a math problem, one thing I find very helpful is to imagine the scenario and sub in the numbers. That's always helped me

At the very beginning, when

x=0, Laurel hasn't bought any new hats yet, she owns 3 hats, so y=3.

After the first month, when x=1, laurel owns 3 hats, plus the 1 hat she just bought. She now owns y=3+1  hats.

After the second month, when

x=2, laurel owns 3 hats, plus the 2

new hats she bought after she started collecting hats. She now owns y=3+2

hats.

Now, we can write the function.

y=3+x

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An architect is designing a rectangular house that is 60 feet long and 40 feet wide. He uses of the area for the 1/4 living room
Lynna [10]

Answer:

6o×40=2400

area 1/4=2400÷4=600

area 1/6=600÷6=100

(d)=100 ft2

5 0
2 years ago
A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.
Dennis_Churaev [7]

Answer:

Margin of error at 90% is 0.024

Margin of error at 99% is 0.037

Step-by-step explanation:

Sample size = 1076

A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.

So, No. of adults said they believe ghosts = \frac{64}{100} \times 1076=688.64\sim 688

So, x = 688

n = 1076

\widehat{p} = \frac{x}{n}

\widehat{p} = \frac{688}{1076}

\widehat{p} = 0.639

ME=z \times \sqrt{\frac{\widehat{p}(1-\widehat{p})}{n}}

z at 90% confidence is 1.64

ME=1.64 \times \sqrt{\frac{0.639(1-0.639)}{1076}}

ME=0.024

So, margin of error at 90% is 0.024

Find the margin of error needed to be 99% confident.

z at 99% confidence is 2.58

ME=2.58 \times \sqrt{\frac{0.639(1-0.639)}{1076}}

ME=0.024

So, margin of error at 99% is 0.037

5 0
2 years ago
A certain company's main source of income is a mobile app. The company's annual profit (in millions of dollars) as a function of
liberstina [14]

Answer:

x = $3, or x = $11


Step-by-step explanation:

The equation given is P(x)=-2(x-3)(x-11)

where

  • P(x) is the profit, and
  • x is the app price

<u>We want app prices (x's) when profit (P(x)) is 0, so plugging in into the equation:</u>

P(x)=-2(x-3)(x-11)\\0=-2(x-3)(x-11)\\0=(x-3)(x-11)

<em>It means (x-3) = 0  OR  (x-11) = 0</em>

So, x = 3, or 11

7 0
2 years ago
Read 2 more answers
Which represents the polynomial written in standard form?
pshichka [43]

Answer:

Option A.

Step-by-step explanation:

In order to write any polynomial in standard form, we need to check the degree of each term, then write each term in order of degree, from highest to lowest, left to right.

The given polynomial is

8x^2y^2-\dfrac{3x^3y}{2}+4x^4-7xy^3

Here, the combine degree of x and y in each term is 4.

If we arrange the terms according to the degree of x, then

4x^4-\dfrac{3x^3y}{2}+8x^2y^2-7xy^3

If we arrange the terms according to the degree of y, then

-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4

Hence, the correct option is A.

3 0
2 years ago
Read 2 more answers
If you take out a $15,000 loan for a period of 36 months at a 5.4% annual interest rate, how much of your first monthly payment
Tems11 [23]

Answer:

The amount that will go towards the balance is 385.71.

Step-by-step explanation:

The information provided is:

P = Principal of loan = $15,000

r = interest rate = 5.4% p.a. = \frac{0.054}{12}= 0.0045

n = number of periods = 36

The amount of the monthly payment that will go towards the balance is:

Amount towards the balance = EMI - Interest  

First compute the Equated monthly installments (EMI) as follows:

EMI=\frac{P\times r\times (1+r)^{n}}{(1+r)^{n}-1} \\=\frac{15000\times0.0045\times(1+0.0045)^{36}}{(1+0.0045)^{36}-1} \\=\frac{79.3125}{0.175}\\=453.21

Now compute the interest as follows:

Interest=P\times r\\=15000\times0.0045\\=67.5

The amount that will go towards the balance is,

Amount towards the balance = EMI - Interest  

                                                 = 453.21 - 67.5

                                                 = 385.71

Thus, the amount that will go towards the balance is 385.71.

4 0
2 years ago
Read 2 more answers
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