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2 years ago

A company sells widgets. The amount of profit, y, made by the

Mathematics

1 answer:

vfiekz [6]2 years ago

4 0

Answer:

846.06 units

Step-by-step explanation:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :

$y = -4x^2 + 183x- 1247$ ...(1)

We need to find out the maximum amount of profit the company can make.

For maximum profit put dy/dx = 0

So,

$\dfrac{d}{dx}(-4x^2 + 183x- 1247)=0\\\\-8x+183=0\\\\x=\dfrac{183}{8}\\\\x=22.87$

Put x = 22.87 in equation (1). So,

$y = -4(22.87)^2 + 183(22.87)- 1247\\\\=846.06$

So, the maximum profit is 846.06 units.

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Find the arc length, x, when , r= 1 and 8 = 2.5 radians. Х 2.5 1 x = [?]

Anna11 [10]

Answer:

x = 2.5

Step-by-step explanation:

The arc length x is calculated as

x = circumference of circle × fraction of circle

= 2πr × $\frac{2.5}{2\pi }$ ( cancel 2π on numerator/ denominator )

x = 1 × 2.5 = 2.5

6 0

2 years ago

1.32:3 1/7 =(1.4y): 5/6

alina1380 [7]

After solving $1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$ we get y=0.24

Step-by-step explanation:

We need to solve the ratio: $1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$ and find value of y

Solving:

$1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$

Converting fractions into decimals

$1.32:3.14=(1.4y):0.83$

Ratio can be written as:

$\frac{1.32}{3.14}=\frac{1.4y}{0.83}$

Now cross multiply

$1.32*0.83=1.4y*3.14$

$1.09=4.39y$

$y=\frac{1.09}{4.39}$

$y=0.24$

So, after solving $1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$ we get y=0.24

Keywords: Ratio

Learn more about Ratios at:

#learnwithBrainly

6 0

3 years ago

If 5/12 visitors are adults and 3/10 were men what fraction were men?

Zigmanuir [339]

You need to do the following equation:

(5/12)*(3/10)

5*3=15

12*10=120

15/120=5/40 of the adults who visited were men.

6 0

3 years ago

The difference between the largest and smallest values in a data set is the ______________.

Olenka [21]

Answer:

Range!

Step-by-step explanation:

It's the range because it's subtracting largest and smallest number in the set.

7 0

2 years ago

Will give brainliest.

In-s [12.5K]

Answer:

y = 3x -8

Step-by-step explanation:

I find it convenient to start with a version of the point-slope form of the equation for a line. That is, for point (h, k) and slope m, ...

y = m(x -h) +k

For your m=3 and (h, k) = (3, 1), this equation becomes ...

y = 3(x -3) +1

Eliminating parentheses puts this in the form you desire:

y = 3x -8

6 0

2 years ago