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dalvyx [7]
3 years ago
13

Can somebody please help me with this & show work ?? :)

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

Answer:

s = 116°, q and t are 64°

Step-by-step explanation:

isoceles so r and s are the same and q and t are the same. therefore q and t are 180-116 = 64

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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
2 years ago
HELP PLEASE!!! THANKS!!! BRAINLIEST ANSWER OFFERED!!!!!<br> THE SELECTED ANSWER IS MY GUESS.
melisa1 [442]
I believe that you are correct.
7 0
3 years ago
Is a 4(2x-3)&lt;8(x+1) always ,sometime,or never true?
Taya2010 [7]

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

8

x

−

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<

8

x

+

8

Step 2: Subtract 8x from both sides.

8

x

−

12

−

8

x

<

8

x

+

8

−

8

x

−

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<

8

Step 3: Add 12 to both sides.

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7 0
2 years ago
Read 2 more answers
The distance to the nearest exit doir is no more than 150 feet. Use d to represent the distance in feet to the nearest exit door
il63 [147K]

Answer: d\leq150

Step-by-step explanation:

1. You have the following information given in the problem:

- The distance to the nearest exit door is no more than 150 feet.

-  d represents the distance to the nearest exit door, in feet.

2. Therefore, keeping the information above on mind, you know that the  distance to the nearest exit door (d) must be less than or equal to 150 feet, then, you can express this as following:

d\leq150

5 0
3 years ago
Karim's dog weighs 1.5 pounds less than double the weight to Frank's dog. Karim's dog weighs 15 pounds. Which equation and solut
Radda [10]
1. Because

info given:
Karim's dog = 15 pounds
Frank dog = 2x more pounds than Karim's dog + 1.5 pounds

(Karim) Equation 1: 15 = Frank
(Frank) Equation 2: 2w + 1.5

joining equation 1 and 2

15 = 2w + 1.5

Solve

15 - 1.5 = 2w
13.5 = 2w ÷ 2
w = 6.75
8 0
3 years ago
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