Answer: 82
Step-by-step explanation:
Answer:
Radius=2.09 cm
Height,h=14.57 cm
Step-by-step explanation:
We are given that
Volume of cylinderical shaped can=200 cubic cm.
Cost of sides of can=0.02 cents per square cm
Cost of top and bottom of the can =0.07 cents per square cm
Curved surface area of cylinder=
Area of circular base=Area of circular top=
Total cost,C(r)=
Volume of cylinder,


Substitute the value of h


Differentiate w.r.t r






Again, differentiate w.r.t r

Substitute the value of r

Therefore,the product cost is minimum at r=2.09
h=
Radius of can,r=2.09 cm
Height of cone,h=14.57 cm
Answer:
- 8
Step-by-step explanation:
Given
3x - 6y = 24 ( divide all terms by - 3 )
x + 2y = - 8
Answer:
4 movies, $20
Step-by-step explanation:
Given data
Family Video
charges $10 for a monthly membership and
$2.50 per movie
let the number of movies be x
and the charge for x movies be y
y= 10+2.5x----------1
Babe's Movies
charges a $12
membership and $2 per
movie.
let the number of movies be x
and the charge for x movies be y
y= 12+2x----------2
equate 1 and 2
10+2.5x= 12+2x
collect like terms
12-10= 2.5x-2x
2= 0.5x
x= 2/0.5
x= 4 movies
put x= 4 in equation 1 or 2
y= 12+2x----------2
y= 12+2*4
y= 12+8
y= $20
Answer:
31/40
Step-by-step explanation:
It cannot be reduced anymore. It is already in simplest form.