1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mestny [16]
3 years ago
6

Farmer Ed has 1.000 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not f

ence the side along the​ river, what is the largest area that can be​ enclosed?
Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

  1000 m of fence can make a 3-sided enclosure of 125,000 m²

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the perpendicular dimension is ...

  width = (1000 -x)/2

and the enclosed area is ...

  area = length×width = (x)(1000 -x)/2

This describes a downward-opening parabola with zeros at x=0 and x=1000. The vertex (maximum) is halfway between, at x=500.

Then the maximum area is ...

  area = (500)(1000 -500)/2 = 125,000 . . . . square meters

You might be interested in
Manuel borrowed $1,500 from his bank and signed a
Mice21 [21]

Answer:

The total interest to pay back on the loan is $122.40

Step-by-step explanation:

Here. we want to get the amount of interest on the loan

We are going to use the compound interest formula here

A = P(1 + r/n)^nt

where A is the amount to be paid back

P is the amount borrowed called the principal which is $1,500

r is the interest rate which is 4% annually

This is same as 4/100 = 0.04

n is the number of times the interest will be compounded per year ; annually means yearly and so for this case, n = 1

t is the number of years = 2

So we have;

A = 1500(1 + 0.04/1)^(2)(1)

A = 1500(1.04)^(2)

A =$ 1,622.40

So the amount of interest is the difference between the amount borrowed and the value to pay back

That will be;

$1,622.40 - $1,500

= $122.40

3 0
2 years ago
2/3÷2 1/3= dividing fractions
wolverine [178]

Answer:

3/3

Step-by-step explanation:

3/3

4 0
3 years ago
Read 2 more answers
PLEASE HELP me with the magic square
defon

Fill in each slot in the square with variables <em>a</em>, <em>b</em>, <em>c</em>, <em>d</em>, and <em>e</em>, in order from left-to-right, top-to-bottom. In a magic square, the sums across rows, columns, and diagonals all add up to the same number called the <em>magic sum</em>.

The magic sum is -3.9, since "diagonal 2" (bottom left to top right) has all the information we need:

3 + (-1.3) + (-5.6) = -3.9

Use this to find the remaining elements

  • row 1:

<em>a</em> + <em>b</em> + (-5.6) = -3.9

  • row 2:

<em>c</em> + (-1.3) + <em>d</em> = -3.9

  • row 3:

3 + <em>e</em> + 0.02 = -3.9

  • column 1:

<em>a</em> + <em>c</em> + 3 = -3.9

  • column 2:

<em>b</em> + (-1.3) + <em>e</em> = -3.9

  • column 3:

(-5.6) + <em>d</em> + 0.02 = -3.9

  • diagonal 1 (top left to bottom right):

<em>a</em> + (-1.3) + 0.02 = -3.9

You will find

<em>a</em> = -2.62

<em>b</em> = 4.32

<em>c</em> = -4.28

<em>d</em> = 1.68

<em>e</em> = -6.92

5 0
3 years ago
1. The mark up price of a pair of shoes which costs $125. 00 is 8. 35%. A)What is the final price? If the tax is 6 1/2% How much
Xelga [282]

Answer:

Step-by-step explanation:

Remark

The wholesale price of the shoes is 125 dollars

The retailer marks it uu to 35% more to the wholesale price.

So the price is now 125 + 35% * 125 dollars

That amount is 125 + 35/100 * 125 = 125 + 43.75 = 168.75

The government wants its cut of 6.5% of the selling price

So the final price is 168.75 + 168.75 * 6.5/100

The final price is 168.75 + 10.97 = 179.72

Answer: A customer pays 179.72 dollars.

3 0
2 years ago
Pls i need the help.<br>​
Andrei [34K]

Answer:

#3. 16a + 24b

Step-by-step explanation:

P= 2( length plus width).

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is one quarter of 2/3?
    11·2 answers
  • Continuous compound interest problem
    10·1 answer
  • Carrie has 32 ounces of ice cream to divide equally among 10 people. How much ice cream will each person get?
    15·2 answers
  • Jen scored 80 on a test. 16 of the questions she answered were correct. How many questions did the test have?
    9·1 answer
  • PLZ PLZ HELP!!!!! WILL MARK BRAINLIEST!
    15·1 answer
  • Please Help Me ASAP.
    8·1 answer
  • Which fractions has the least common denominator of 24 ​
    5·1 answer
  • How to solve using Substitution or Elimination??? Help!!!<br> y=3x-1<br><br> y=2x+2
    11·2 answers
  • A baker is selling pies his first customer buys 1/2 of all the pies plus 1/2 of a pie. His second customer then buys 1/2 of the
    12·1 answer
  • What does -(-3) equal?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!