Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
3: 12x1=1=12 because you’re changing the order of numbers you’re multiplying but the product stays the same
Answer:
=0.4
Step-by-step explanation:
1/3= 0.33
5/6=0.83
Then: 0.33/0.83 = 0.4
You can also do 6/15 which results from (1*6)=6 and (3*5)=15
The normal price is gotten by find the 5% discounted price and adding it to the amount paid.
The normal price is £580
<h3>Prices and Discounts</h3>
Given Data
Discount = 5%
Amount paid = £551
Let the normal price be x
let us find 5% of x
= 5/100 *x
=0.05x
Hence the discounted amount is £0.05x
We know that the amount paid = Normal Price - Discount
Substituting our data
551 = x-0.05x
551 = 0.95x
Divide both sides by 0.95
x = 551/0.95
x = £580
Learn more about discounts here:
brainly.com/question/7459025
