27/3 = 9 cm3
the pyramid is 1/3 the volume of the cube because it fits exactly inside it
Answer:
- S(t) = 149999(1.06)^t
- $225543
Step-by-step explanation:
- Initial value is $149999
- Increase rate is 6% per year = 1.06 times
<u>The model of the growth is:</u>
- S(t) = 149999(1.06)^t, where S- amount of annual sales, t- time in years, 1.06- growth rate per year
<u>Annual sales after 7 years:</u>
- S(7) = 149999(1.06)^7 = $225543
If the original side length is "s" and the original slant height is "h", the original surface area is
.. S = (base area) +(lateral area)
.. S = s² +(1/2)*(4s)*h
.. S = s(s +2h)
Now, if we make these replacements: s ⇒ 3s, h ⇒ h/5, we have
.. S' = (3s)(3s +2h/5)
.. S' = 9s² +(6/5)s*h . . . . . . . the formula for the modified area (in terms of original dimensions)
_____
Of course, in terms of the modified dimensions, the formula is the same:
.. S' = s'(s' +2h')
Answer: A pot of 2400ml
Step-by-step explanation: Ok, mei has 8 jars, and each jar has 300ml of soup, so the total amount of soup is 8 times 300ml
N = 8*300ml = 2400ml
So the smallest pot that mei can use to heat the soup is a pot that has exactly that volume. 2400ml, (discarding the fact that the volume of the soup will change as it is heated up)
Answer:
Step-by-step explanation:
Given
Thickness of oil slick=0.07 foot
radius of slick=110 ft
Let V be the volume of oil slick
so, 
rate of oil flowing is
