Answer:
it'll take her 36 months
Step-by-step explanation:
i just plugged in random numbers into the calculator-_-
Answer:
$5.4
Step-by-step explanation:
45% of $12.00 = 45/100 x 12
= $5.4
Hence to get how much he saved, we have to deduct the percentage off from the cost price $12 -$5.4 = $6.6
∴ Jason saves $5.4
Answer:
80000 square meters
Step-by-step explanation:
perimeter + dividing fence = 800
let a = length
let b = width
let c = length of dividing fence
perimeter = 2*a + 2*b
let's say...
c is the same as the length
2a + 2b + c = 800
2a + 2b + a = 800
3a + 2b = 800
area = length*width
area = a*b
area / b = a
3*(area/b) + 2b = 800
3*(area/b) = 800 - 2b
area/b = (800 - 2b)
area = (800 - 2b)*b
To make the area large, we make the right hand side large.
800b - 2b^2
If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.
y = -2x^2 + 800x
y = -x^2 + 400x
0 = x*(-x + 400)
roots are x= 0 and x = 400
vertex is at x, aka b = 200
area at b=200 is (800 - 400)*200 = 80000
and a is area/b... 80000/400 = 200
Check the picture below.
as we can see in the picture, the lengths for YZ and ZX are very straight, let's get the side YX
![~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Y(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad X(\stackrel{x_2}{2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ YX=\sqrt{[2 - 0]^2 + [4 - (-2)]^2}\implies YX=\sqrt{2^2+(4+2)^2} \\\\\\ YX=\sqrt{4+6^2}\implies YX=\sqrt{40} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{2~~+~~6~~+~~\sqrt{40}~~\approx~~14.32} ~\hfill \stackrel{\textit{\Large Area}}{\cfrac{1}{2}(2)(6)\implies 6}](https://tex.z-dn.net/?f=~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20Y%28%5Cstackrel%7Bx_1%7D%7B0%7D~%2C~%5Cstackrel%7By_1%7D%7B-2%7D%29%5Cqquad%20X%28%5Cstackrel%7Bx_2%7D%7B2%7D~%2C~%5Cstackrel%7By_2%7D%7B4%7D%29%5Cqquad%20%5Cqquad%20d%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20YX%3D%5Csqrt%7B%5B2%20-%200%5D%5E2%20%2B%20%5B4%20-%20%28-2%29%5D%5E2%7D%5Cimplies%20YX%3D%5Csqrt%7B2%5E2%2B%284%2B2%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20YX%3D%5Csqrt%7B4%2B6%5E2%7D%5Cimplies%20YX%3D%5Csqrt%7B40%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7B%5CLarge%20Perimeter%7D%7D%7B2~~%2B~~6~~%2B~~%5Csqrt%7B40%7D~~%5Capprox~~14.32%7D%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7B%5CLarge%20Area%7D%7D%7B%5Ccfrac%7B1%7D%7B2%7D%282%29%286%29%5Cimplies%206%7D)
