Answer:
the cap and the pic EACH cost $13
Step-by-step explanation:
I have to write 20 words or move but the answer is 0
Step-by-step explanation:
1. 3:4, 6:8, 9,12
So 12:15 is the same thing as 12/15 you need to simplify so 12 devided by 2 is 4 and 15 divided by 3 is 5 so question to is 4:5
Answer:
V(max) = 8712.07 in³
Dimensions:
x (side of the square base) = 16.33 in
girth = 65.32 in
height = 32.67 in
Step-by-step explanation:
Let
x = side of the square base
h = the height of the postal
Then according to problem statement we have:
girth = 4*x (perimeter of the base)
and
4* x + h = 98 (at the most) so h = 98 - 4x (1)
Then
V = x²*h
V = x²* ( 98 - 4x)
V(x) = 98*x² - 4x³
Taking dervatives (both menbers of the equation we have:
V´(x) = 196 x - 12 x² ⇒ V´(x) = 0
196x - 12x² = 0 first root of the equation x = 0
Then 196 -12x = 0 12x = 196 x = 196/12
x = 16,33 in ⇒ girth = 4 * (16.33) ⇒ girth = 65.32 in
and from equation (1)
y = 98 - 4x ⇒ y = 98 -4 (16,33)
y = 32.67 in
and maximun volume of a carton V is
V(max) = (16,33)²* 32,67
V(max) = 8712.07 in³
Answer:
An increase of 43.3% per year
Step-by-step explanation:
using the equation, plug in the respective variables. 650 =500R3, 3 times 500 is 1500. 650=1,500R. divide both sides by 1500 to get .4333, 3 repeating. .433 in percent form is 43.3%. (I just use 650 out of 500 or 650/500 which is 1.3 divided by 3 because 3 years to get the same amount)
