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4 years ago

Please help me with this 50 points Will marks brainliest

Mathematics

1 answer:

Natali [406]4 years ago

3 0

$((( {64}^{ \frac{1}{2}})^{ \frac{1}{8}} )^{2} = \\$

$( {64}^{ \frac{1}{16} })^{2} = \\$

$(64)^{ \frac{1}{8}} = \\$

$( {2}^{6} )^{ \frac{1}{8} } = \\$

${2}^{ \frac{3}{4} } = \\$

$\sqrt[4]{2^{3} } = \\$

$\sqrt[4]{8}$

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A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate off

GuDViN [60]

Correct question is;

A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week

A) Find the demand function (price p as a function of units sold x).

p(x)=______

(B) How large a rebate should the company offer the buyer in order to maximize its revenue?

$=_____

Answer:

A) p(x) = (-1/10)x + 590

B) Rebate = $170

Step-by-step explanation:

A) We are told that p(x) is the demand function and x is the number of TV sets sold per week.

Now, since for each $21 rebate offered, the number of sets sold increases by 210 per week, it means that the slope here of this demand function is; m = -21/210 = -1/10

Now, he has been selling 1400 TV sets a week at $450 each. This means; p(1400) = $450

Thus, the demand function will be;

p(x) - 450 = (-1/10)(x - 1400)

Expanding the RHS;

p(x) - 450 = (-1/10)x + 140

Add 450 to both sides to get;

p(x) = (-1/10)x + 140 + 450

p(x) = (-1/10)x + 590

B) Formula for revenue is;

R = price × quantity sold

Our demand function is p = (-1/10)x + 590

Making x the subject, we have;

x = 5900 - 10p

x is quantity sold.

Thus,

R = p(5900 - 10p)

R = 5900p - 10p²

Maximum price will occur at dR/dP = 0

Thus;

dR/dP = 5900 - 20p

At dR/dP = 0,we have;

20p = 5900

p = 5900/20

p = $280

Thus, rebate = 450 - 280 = $170

6 0

3 years ago

The manager of a fast food restaurant is supposed to serve coffee that is 160 degrees Fahrenheit. A random sample of 20 cups of

evablogger [386]

Answer:

C. No, the Normal/large sample condition is not met.

Step-by-step explanation:

There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers

8 0

3 years ago

PLEASE HELP URGENTLY!

torisob [31]

Answer:

here's your answer hope it helps!!

7 0

3 years ago

Please help!!!! I'll make you Brainliest!! Thanks!!

alexandr1967 [171]

Im thinking it whould be c

6 0

4 years ago

Help please I'm no good at this

viva [34]

Here are the completed tables

Gallons Quart

1 4

2 8

5 20

7 28

Quart Pint

1 2

3 6

6 12

8 16

Pint Cup

1 2

3 6

5 10

9 18

The capacity of the objects are:

Swimming pool - 5000 gallons

Watering can - 8 quarts

Juice box - 2 pints

Soup bowl - 2 cups

The measurement from least to greatest is: 6 pints, 2 galloons, 18 cups, 6 quart.

<h3>How would the tables be filled?</h3>

In order to fill the tables, the unit of conversion has to be known:

1 gallon = 4 quart

2 gallon = 2 x 4 = 8 quarts
5 gallons : 5 x 4 = 20 quarts
7 gallons: 7 x 4 = 28 quarts

1 quart = 2 pints

6 pint / 2 = 3 quarts

12 / 2 = 6 quarts

8 x 2 = 16 pints

<h3>How to order the measurment from least to largest?</h3>

In order to order the measurement, all the measurements have to be in the same units. All the units would be converted to cups

1 quart = 4 cups

4 x 6 = 24 cups

1 galloon = 16 cups

16 x 2 = 32 cups

1 pint = 2 cups

6 x 2 = 12 cups

To learn how to convert units, please check: brainly.com/question/25993533

6 0

2 years ago