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3 years ago

A gardener has 60 feet of fencing to keep

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

4 0

Answer:

225 ft^2

Step-by-step explanation:

From what we have in the question, we have 60 ft of fencing

To maximize the area, we will need to have a square

For a square, the length of all sides are equal

Let us call one of the sides s

Thus, from the perimeter of the square;

4s = 60

s = 60/4

s = 15 ft

The area is thus, the product of the side length of the square

15 * 15 = 225 ft^2

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The population of Collin County, which follows the exponential growth model,

Anestetic [448]

Answer:

(a) k=0.06217

(b) $P=264036e^{0.06217t}$

Step-by-step explanation:

Population increased from 264,036 in 1990 to 491,675 in 2000.

Let assume , year 1990 as t=0

When t=0, population P = 264,036

When t=10, population P = 491,675

Exponential growth equation is P=P_0e^(kt)

$P_0$ is the initial population when t=0

So $P_0= 264,036$

When t=10, population P = 491,675

Plug in all the values and find out k

$491675 = 264036 e^{k*10}$

Divide both sides by 264036

$\frac{491675}{264036}=e^{k*10}$

To remove 'e' we take ln on both sides

$ln(\frac{491675}{264036})=lne^{10k}$

$ln(\frac{491675}{264036})=10kln(e)$

The value of ln(e) = 1

$ln(\frac{491675}{264036})=10k$

Divide both sides by 10

k=0.06217

Exponential growth equation is $P=P_0e^{kt}$

We know $P_0= 264,036$

Replace the value of k

$P=264036e^{0.06217t}$

Now , we find the population in 2012

For year 2012 , t= 12

So we plug on 12 for t and solve for P

$P=264036e^{0.06217*12}$

P = 556755.09504

556,755 is the population in 2012

4 0

3 years ago

Choose the best answer.

ElenaW [278]

Saving Account are those kind of accounts by a single Person or two or more persons in which you can deposit or withdrew money at any instant, either with the help of that Bank in which you have your Account, or ,ATM's or Through Internet Banking.

Among the four options provided

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First three are different kind of Saving account.

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3 years ago

Determine whether the given set s is a subspace of the vector space v.

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Answer:

Step-by-step explanation:

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4 years ago

Can someone help me with this question?

Tomtit [17]

It is the first choice. 3 times 5/2 is 15/2 which equals 7.5 and 12 times 5/2 is 60/2 which equals 30. 7.5 times 30.

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4 years ago

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Simplify the expression: (5.2 + 6.8)x - (25 ÷ 5)x

viktelen [127]

Answer:

Step-by-step explanation:

(5.2 + 6.8)x - (25 ÷ 5)x

12x-(25divied by 5)x

12x-5x

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2 years ago

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