Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.
Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).
one side of the length is not counted for perimeter because one side of length will be against the barn.
Perimeter = 400 ft
Perimeter of rectangle = L + W + W
400 = L + 2W
L = 400 - 2W
Area = L * W
Replace L by 400 - 2W
A(W) = (400 - 2W) * W
Now we find out x coordinate of vertex to find the width that maximize the area
a= -2 and b = 400
The width w would maximize the area is w = 100ft
To find maximum area we plug in 100 for W in A(W)
the maximum area is 20,000 square feet
Based on the expression given, when it is solved, as a fraction in its simplest form it would be 558/1.
<h3>What is the fraction in its simplest form?</h3>
The expression, 62(9) can be rewritten as:
= 62 x 9
This is because the brackets denote that the number within the brackets should be multiplied by the number outside the bracket.
The solution is:
= 62 x 9
= 558
As this is an integer, it means that it has a denominator of 1. The fraction in its simplest form is therefore:
= 558 / 1
Find out more on fractions in their simplest forms at brainly.com/question/18069
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Answer:
150
Step-by-step explanation:
you have three days and 7.5 so decide 7.5 by 3 it equals 2.5 which in minutes is 150
Answer:
$1,179
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, lets change 2.6% into a decimal:
2.6% -> 
-> 0.026
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
The account balance after 10 years will be $1,179
