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3 years ago

You have 1200 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in

Mathematics

1 answer:

NARA [144]3 years ago

7 0

Let x = length and y = width

You would have 2 lengths, so 2x and 3 widths, so 3y

Those need to equal total length of fence:

2x + 3y = 1200

The 3 widths would equal total fence minus the 2 lengths:

3Y = 1200-2x

Solve for y: y = 400 -2/3x

Area = length x width = xy. Replace y :

Area = x(400-2/3x) = 400x-2/3x^2

Differentiate:

400-4x/3 =0

4x/3 = 400

4x = 1200

X = 300

Y = 400-2/3(300) = 200

The dimension would be 300 ft x 200 ft

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Find the gradient of the line 2x+7y=14

Alex777 [14]

Answer:

-2/7

Step-by-step explanation:

2x+7y=14

7y=-2x+14

divide by 7

y=-2/7 x+2

4 0

3 years ago

HELPPPP- you just got your driver's license. Your parents buy you a car and agree to let you pay them back over a period of 70 m

Nitella [24]

Using the monthly payments formula, it is found that a car with a value of at most $25,293.

<h3>What is the monthly payment formula?</h3>

It is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

In which:

P is the initial amount.

r is the interest rate.

n is the number of payments.

In this problem, we have that the parameters are given as follows:

A = 400, n = 70, r = 0.035.

Hence:

r/12 = 0.035/12 = 0.002917.

Then we have to solve for P to find the maximum value of the car.

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

$400 = P\frac{0.002917(1.002917)^{70}}{(1.002917)^{70}-1}$

$P = \frac{400[(1.002917)^{70}-1]}{0.002917(1.002917)^{70}}$

P = $25,293.

More can be learned about the monthly payments formula at brainly.com/question/26267630

#SPJ1

7 0

1 year ago

Find the amount accumulated after investing a principle P for T years at an interest rate compounded k times per year.

BartSMP [9]

1. $3500(1+ \frac{.05}{4}) ^{4*10}$
$3500(1+.0125) ^{40}$
3500(1.64) = 5740

2. $25300(1+ \frac{.045}{12} ) ^{12*25}$
$25300(1+.00375) ^{300}$
25300(3.07) = 77671

Hope that helps. Feel free to ask any questions

8 0

3 years ago

Can someone please help me with this square root problem?

nadya68 [22]

Answer:

x=14.87

Step-by-step explanation:

What we want to use is pythagoras theorem:

a^2+b^2=c^2, where c is the hypotenuse

10^2+11^2=x^2

221=x^2

x= $\sqrt{221}$

x=14.866...

x=14.87

4 0

2 years ago

suppose that a polynomial contains four terms explain how to use factoring by grouping to factor the polynomial

____ [38]

Answer:

Factoring by grouping effectively breaks down the polynomial into easy-to-solve smaller polynomials. The goal is to isolate each term in a separate group and then add them together to finally get the original polynomial.

Step-by-step explanation:

The first thing we'll do is look for two numbers that multiply together to give -9. These will be our "groupings". Once we find these, we'll start grouping other terms in an alternating fashion until we can't break any more of the terms apart.

We find 2 and 3 which when multiplied give -6, so these are our groupings for this problem:

2x3(-9)=-18 + 5x(-9)=-45 + 4

7 0

2 years ago

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