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3 years ago

Write 2/4/9 as an improper fraction.

Mathematics

1 answer:

Softa [21]3 years ago

5 0

$2\dfrac{4}{9}=\dfrac{2\cdot9+4}{9}=\dfrac{18+4}{9}=\boxed{\frac{22}{9}}$

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Which graph represents this system?<br><br> y=1/2x+3 <br> y=3/2x-1

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It’s neither of the graphs that are showed in the photo

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3 years ago

given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q

ipn [44]

Answer:

a)the weekly profit as a function of price is $P=-10 p^2 + 600 p - 6500$

b) a bottle of wine be sold at $30 to realise maximum profit

c) the maximum profit that can be made by the producer is $2500

Step-by-step explanation:

The weekly demand curve of a local wine producer is p= 50-0.1q

p = price

q = quantity

Revenue function R =Price \times Quantity

R=(50-0.1q)q

$R=50q-0.1q^2$

Cost function: c= 1500+ 10q

Profit function=R(x)-C(x)

Profit function= $50q-0.1q^2-1500-10q$

Profit function= $40q-0.1q^2-1500$ ----1

We have q = 500 - 10 p using p = 50 − 0.1q

$P=-0.1 (500 - 10 p)^2 + 40 (500 - 10 p)- 1500\\P= -10 p^2 + 600 p - 6500$

General quadratic equation: $ax^2+bx+c=0$

On comparing

a = -0.1 , b = 40 , c = -1500

Maximum Profit is at q = $\frac{-b}{2a}=\frac{-40}{2(-0.1)}=200$

To find price must a bottle of wine be sold to realise maximum profit

p= 50-0.1q

p= 50-0.1(200)=30

Substitute the value of q in profit function(1) get the maximum profit

So, Profit function= $40\left(200\right)-0.1\left(200\right)^{2}-1500=2500$

Hence

a)the weekly profit as a function of price is $P=-10 p^2 + 600 p - 6500$

b) a bottle of wine be sold at $30 to realise maximum profit

c) the maximum profit that can be made by the producer is $2500

8 0

3 years ago

How do you solve this 10y=40?

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You must divide 10 by itself in order to cancel it out and get y by itself, you must also do the same to the 40. When you divide both sides, you’ll get y = 4.

3 0

3 years ago

De’Andre is determining the volume of the triangular prism below. Which expression will give him the correct value of B, the are

wel

Answer:

its just 3 times 7 i think

Step-by-step explanation:

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4 years ago

An investment project involves an immediate outlay of $8 million. The net cash flows received at the end of years 1, 2, and 3 wi

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Answer:

(c) 0.46 million

Step-by-step explanation:

As provided immediate cash outlay = $8 million.

This will represent cash outflow at period 0, as it is made immediately, no time period has lapsed.

Cash inflows as provided and the respective present value factor are:

Year Cash Inflow Factor Discounted Value

1 $3 million 0.9091 $2,727,300

2 $4 million 0.8264 $3,305,600

3 $2 million 0.7513 $1,502,600

Total present value of cash inflow = $7,535,500

Therefore, net present value = $7,535,500 - $8,000,000 = - $464,500

That is - 0.46 million

Correct option is

(c) 0.46 million

4 0

3 years ago