Answer:
Dimensions of the rectangular plot will be 500 ft by 750 ft.
Step-by-step explanation:
Let the length of the rectangular plot = x ft.
and the width of the plot = y ft.
Cost to fence the length at the cost $3.00 per feet = 3x
Cost to fence the width of the cost $2.00 per feet = 2y
Total cost to fence all sides of rectangular plot = 2(3x + 2y)
2(3x + 2y) = 6,000
3x + 2y = 3,000 ----------(1)
3x + 2y = 3000
2y = 3000 - 3x
y = ![\frac{1}{2}[3000-3x]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B3000-3x%5D)
y = 1500 - 
Now area of the rectangle A = xy square feet
A = x[
]
For maximum area 
A' =
= 0
1500 - 3x = 0
3x = 1500
x = 500 ft
From equation (1),
y = 1500 - 
y = 1500 - 750
y = 750 ft
Therefore, for the maximum area of the rectangular plot will be 500 ft × 750 ft.
two fencing 3(500+500) = $3000
other two fencing 2(750+750) = $3000
If

then

The ODE in terms of these series is



We can solve the recurrence exactly by substitution:


So the ODE has solution

which you may recognize as the power series of the exponential function. Then


From any proportion, we get another proportion by inverting the extremes (or the means):

= k
so we have:
2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k
x=


= -

The corect answer is A. -3/2
or:

From any proportion, we get another proportion by inverting the extremes and the means:

We use a property of proportions:

where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),
so we have

or

(you can check this also by "the product of the extremes equals the product of the means")



3y = - 2x
Answer:
15, 30, 45, 60, and 75
Step-by-step explanation:
15x1
15x2
15x3
15x4
15x5
I hope this helps you