What do you mean by this? Would you like me to plot it?
Answer:
The required width of the field that would maximize the area is = 1250 feet
Step-by-step explanation:
Given that:
The total fencing length = 5000 ft
Let consider w to be the width and L to be the length.
Then; the perimeter of the rectangular field by assuming a parallel direction is:
P = 3L + 2w
⇒ 3L + 2w = 5000
3L = 5000 - 2w
Recall that:
The area of the rectangle = L×w
Taking the differentiation of both sides with respect to t; we have:
Then; we set A'(w) to be equal to zero;
So;
5000 = 4w
w = 5000/4
w = 1250
Thus; the required width of the field that would maximize the area is = 1250 feet
Also, the length can now be :
L = (5000 -2500)/3
L = 2500/3 feet
Suppose, the farmer divides the plot parallel to the width; Then 2500/3 feet = 833.33 feet and the length L = 1250 feet.
Answer:
p = 48
Step-by-step explanation:
If p is inversely proportional to the square of q
This is written Mathematically as:
p ∝ 1/q²
p = k × 1/q²
p = k/q²
Cross Multiply
k = pq²
k = Constant of Proportionality
Step 1
We find k
When p is 3 when q was 12
k = pq²
k = 3 × 12²
k = 432
Step 3
determine p when q is equal to 3
p = k/q²
p = 432/3²
p = 48
Answer:
20 years approx
Step-by-step explanation:
Step one:
given data
Principal= $1000
rate= 6%
Final amount A= $3300
Required
Time t
Step two:
the expression for the compound interest is given data
A= P(1+r)^t
t = ln(A/P) / r
substitute
t= ln(3300/1000)/0.06
t= ln3.3/0.06
t= 1.193/0.06
t=19.88 years
t= 20 years approx
Answer:
1
Step-by-step explanation:
to get at least 50% you would have to add 1 more marble