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svetlana [45]
3 years ago
5

The manufacturer of banjos spends $250 to make each banjo and sells them for $400. The manufacturer also has fixed costs each mo

nth of $4500.
Find the cost function C when x banjos are manufactured.
Mathematics
2 answers:
trapecia [35]3 years ago
6 0

Answer:

c(x)=400x

Step-by-step explanation:

raketka [301]3 years ago
5 0

Answer:

The cost for making x banjos is c = $ 400 x

Step-by-step explanation:

Given as :

The making cost of each banjos = $ 250

The selling cost of each banjo = $ 400

Let The cost for making x banjos = c

Now,

∵ For making 1 banjos , the making cost = $ 250

∴  For making x banjos , the making cost = $ 250 × x

Again,

∵ The selling price of 1 banjos = $ 400

∴ The selling price of x banjos = = $ 400 × x

Hence The cost for making x banjos is c = $ 400 x . Answer

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Answer:

6 pounds of coffee.

Step-by-step explanation:

First, we determine how much money she spent. 80-31.76 = 48.24

Next, we divide the money spent by the price per unit. 48.24/8.04=6

Therefore, she bought 6 pounds of coffee.

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3 years ago
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3 minutes

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Shelia mixed 3 ounces of blue paint with 2 ounces of yellow paint. She decided to create 20 ounces of the same mixture. How many
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How do you add vectors? Add the vector <3,4> to the vector that goes 7 units at an angle of 2π/3.
lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle \frac{2\pi }{3}

- That means its magnitude is 7 and its direction is  \frac{2\pi }{3}

∴ x = 7 cos(  \frac{2\pi }{3} )

∴ y = 7 sin(  \frac{2\pi }{3} )

∵ cos(  \frac{2\pi }{3} ) =  -\frac{1}{2}

∵ sin(  \frac{2\pi }{3} ) =  \frac{\sqrt{3}}{2}

- Substitute them in x and y

∴ x = (7)( -\frac{1}{2} )

∴ x = -3.5

∴ y = (7)( \frac{\sqrt{3}}{2} )

∴ y = 3.5\sqrt{3}

∴ The vector is <-3.5 , 3.5\sqrt{3}>

Now lets add the vectors by adding xs and ys components

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∴  <3 , 4> + <-3.5 , 3.5\sqrt{3}> = <-0.5 , 4+3.5\sqrt{3} >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

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