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grandymaker [24]
3 years ago
14

5. A stove has a list price of $1,400. If the chain discount is 13/10/4, what's the net price? Also, what's

Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

I think this is the answer. I tried.

Step-by-step explanation:

13/10/4 = .325

A. 1,400 x .325=455

Net Price=1,400-455 = 945

B. Trade Discount = 32.5%

You might be interested in
27. If three more than one-fourth of a number is
ololo11 [35]

Answer:

8

Step-by-step explanation:

let the number be n , then

\frac{1}{4} n + 3 = n - 3 ( multiply through by 4 to clear the fraction )

n + 12 = 4n - 12 ( subtract 4n from both sides )

- 3n + 12 = - 12 ( subtract 12 from both sides )

- 3n = - 24 ( divide both sides by - 3 )

n = 8

That is the number is 8

8 0
2 years ago
Find the unknown side of the triangle. Urgent
kramer

Answer:

13 in

Step-by-step explanation:

It’s a right triangle, so use the Pythagorean Theorem.

12²+5²=c²

144+25=c²

169=c²

√169=c

13=c

4 0
2 years ago
The amount of protein that an individual must consume is different for every person. There are solid theoretical ideas that sugg
amid [387]

Answer:

The proportion of the population that have a protein requirement less than 0.60 g P • kg-1 • d-1 is 0.239, that is, 239 persons for every 1000, or simply 23.9% of them.

\\ 0.239 =\frac{239}{1000}\;or\;23.9\%

Step-by-step explanation:

From the question, we have the following information:

  • The distribution for protein requirement is <em>normally distributed</em>.
  • The population mean for protein requirement for adults is \\ \mu= 0.65 gP*kg^{-1}*d^{-1}
  • The population standard deviation is \\ \sigma =0.07 gP*kg^{-1}*d^{-1}

We have here that protein requirements in adults is normally distributed with defined parameters. The question is about <em>the proportion</em> <em>of the population</em> that has a requirement less than \\ x = 0.60 gP*kg^{-1}*d^{-1}.

For answering this, we need to calculate a <em>z-score</em> to obtain the probability of the value <em>x </em>in this distribution using a <em>standard normal table</em> available on the Internet or on any statistics book.

<h3>z-score</h3>

A z-score is expressed as

\\ z = \frac{x - \mu}{\sigma}

For the given parameters, we have:

\\ z = \frac{0.60 - 0.65}{0.07}

\\ z = \frac{0.60 - 0.65}{0.07}

\\ z = -0.7142857

<h3>Determining the probability</h3>

With this value for <em>z</em> at hand, we need to consult a standard normal table to determine what the probability of this value is.

The value for z = -0.7142857 is telling us that the requirement for protein is below the population mean (negative sign indicates this). However, most standard normal tables give a probability that a statistic is less than z and for values greater than the mean (in other words, positive values). To overcome this, we need to take the complement of the probability given for z-score z = 0.7142857, that is, subtract from 1 this probability, which is possible because the normal distribution is <em>symmetrical</em>.

Tables have values for <em>z</em> with two decimal places, then, for z = 0.7142857, we need to rewrite it as z = 0.71. For this value, the <em>standard normal table</em> gives a value of P(z<0.71) = 0.76115.

Therefore, the cumulative probability for values less than x = 0.60 which corresponds to a z-score = -0.7142857 is approximately:

\\ P(x

\\ P(x (rounding to three decimal places)

That is, the proportion of the population that have a protein requirement less than 0.60 g P • kg-1 • d-1 is

\\ 0.239 =\frac{239}{1000}\;or\;23.9\%

See the graph below. The shaded area is the region that represents the proportion asked in the question.

5 0
3 years ago
Please hwelp please​
Fantom [35]

Answer:

2⁸ > 2.38 × 10² > 6³ > 2.16 × 10¹ > \sqrt{300}, 300%

Step-by-step explanation:

Given numbers are,

2.38 × 10², √300, 2⁸, 300%, 6³, 2.16 × 10¹

We have to arrange these numbers in the decreasing order(from greatest to least)

2.38 × 10² = 2.38 × 100 = 238

√300 = 10√3 ≈ 17.32

2⁸ = 256

300% = \frac{300}{100} = 3

6³ = 216

2.16 × 10¹ = 21.6

Therefore, decreasing order (from the greatest to least) will be,

256 > 238 > 216 > 21.6 > 17.32 > 3

2⁸ > 2.38 × 10² > 6³ > 2.16 × 10¹ > \sqrt{300}, 300%

5 0
3 years ago
Sebastian invested $7,100 in an account paying an interest rate of 8 1 4 \% compounded monthly. Eva invested $7,100 in an accoun
Alexxx [7]

Answer:

Given:

Sebastian :

Principal(invested)= $7,100

Rate of interest=  8.14% compounded monthly

Eva:

Principal(invested)= $7,100

Rate of interest= 8.12% compounded continuously

Step-by-step explanation:

After 5 years,

In Sebastian case:

Amount= Principal*(1+R/100)^{t}

Amount = 7100*(1+8.14/100)^{12*5}

Amount= 7100*1.0814^{60}

Amount=7100*109.4415

Amount= $777,034.43

In Eva case,

Amount= Principal*e^{Rt/100}

Amount = 7100*e^{0.0812*12*5\\}

Amount= 7100*130.5818

Amount= $927,130.92

Difference between their money=$927,130.92-777034.43

                                                 =$150,096.49

Eva has $150,096 more money than Sebastian.

7 0
2 years ago
Read 2 more answers
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