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dimaraw [331]
3 years ago
14

Miss Kito is building a rectangular pen for her lea.She will use the side of her house for one wall of the pen;therefore she wil

l not need any fencing on that side.On the other three sides, she will use special fencing that costs $12 per foot . She wants the entire enclosed area to be 2400 square feet. Lastly,she needs four corner that costs $5 each ?
Let x represent the length of each side of the pen perpendicular to the house and let y represent the length of the side of the pen parallel to the house.Write a function c(x) for the cost of the materials for the llama pen in terms of x. Simplify

Please explain and thank you
Mathematics
1 answer:
In-s [12.5K]3 years ago
6 0

Answer:

The answer is "=24x+ \frac{28800}{x}+20"

Step-by-step explanation:

The perimeter of the fence =2x+y

cost of fence=12(2x+y)

cost of corner ports= 4 \times 5=20

cost of pen= 24x+12y+80.............(1)

area of pen=2400

xy=2400\\\\y=\frac{2400}{x}

cost c(x)=24x+ \frac{12 \times 2400}{x}+20

             =24x+ \frac{28800}{x}+20

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eimsori [14]

Answer:

This is your answer ☺️☺️☺️

6 0
2 years ago
A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the n
Aleonysh [2.5K]

Answer:

In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792

Step-by-step explanation:

Here we have that the formula for population presented as follows;

A = P(1+r)^t

Where:

A = Population after growth

P = Original population = 3400

r = 5% = 0.05

t = Time = 17 years

Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;

A = 3400 \times (1+0.05)^{17} = 7792.86

Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.

Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.

6 0
3 years ago
Read 2 more answers
Two kilos of taronges and three kilos of mandarins cost 11.50 euros. Three kilos of taronges and two of mandarins cost 11 euros.
Illusion [34]

Answer:

Hence the pricing for each product will be taronges with 2 euros and mandarins with 2.5 euros.

Step-by-step explanation:

Given:

2 kg of taronges and 3 kg mandarins cost 11.5 euros

3kg taronges and 2 kg mandarins cost 11 euros

To Find:

Price for each product

Solution:

<em>Consider </em>

<em>Taronges =x euros</em>

<em>Mandarins=y euros</em>

So by given condition,

2x+3y=11.5  ....................equation(1)

and 3x+2y=11 ..............equation (2)

So , using substitution method,

3x=11-2y

x=11-2y/3 .......equation (3)

Using above value in equation(1) we get ,

2(11-2y)/3+3y=11.5

y=(11.5*3-22)/5)

y=2.5 euros

Using above value in equation(3)  we get ,

x=(11-2y)/3

x=(11-2*2.5)/3

x=(11-5)/3

x=2 euros

5 0
3 years ago
A market buys mixed nuts at $16 per pound. In order to make a 75% profit, how much will the market charge you per pound?
drek231 [11]
For this, all you'll wanna do is add the answer to this problem to your original number...

16× .75 = 12

now add...

16 + 12 = 28$ per pound...

to make a 75% profit on the markets investment....I think I'll have a salad instead at that price...
5 0
2 years ago
Does anyone know this?
lana66690 [7]

Answer:

Δ HGI ≅ ΔEDF

Step-by-step explanation:

Given:

Δ DEF ≅ Δ GHI

From the given congruence statement we can figure out the corresponding sides that are congruent.

The arrangement shows:

D\rightarrow G\\E\rightarrow H\\F\rightarrow I

So the rearranged statement can be written as:

ΔEDF ≅ Δ HGI

or

∴ Δ HGI ≅ ΔEDF

8 0
3 years ago
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