$4225 first year
$2746.25 second year
$1785.0625 third year
Answer:
11.25 minutes
Step-by-step explanation:
The capacity of the swimming pool is 105 gallons of water.
There are currently 15 gallons of water
∴I need to fill (105-15) = 90 gallons of water
Now,
8 gallons of water are filled within 1 minute
∴1 gallon of water will be filled within = 1/8 minute
∴90 gallons of water will be filled within = 90/8 minutes
=11.25 minutes
67
2x/2=132/2
x =66
x+1=
66+1=67
Therefore the smaller number is 66 and the greater 67.
Answer:
69.92°F
Step-by-step explanation:
Given:
Initial temperature ( i.e at time, t = 0) = 40°F
Temperature of the room = 70°F
Temperature after 10 minutes ( i.e at time t = 10 ) = 48°F
Now, from Newton's law of cooling
T'(t) = k(A - T(t))
T(t) temperature after time t
T'(t) =
here, A is the room temperature
thus,
= k(70 - T)
or
= kdt
on solving the differential equation, we get
T =
............(1)
Now from the boundary conditions,
i.e at time, t = 0; T = 40°F
we get,
40 = 
or
C = 30
and,
at time, t = 10; T = 48°F
thus,
48 = 
or
k =
or
k = 0.03
Therefore,
for t = 25
from 1 we have
T = 
or
T = 70 - 0.0780
or
T = 69.92°F
Answer:
Now,a
2
b
2
−ab
2
=ab
2
(a−b)
and
ab
2
−b
3
=b
2
(a−b)
Therefore,therequiredhcfbe
=b
2
(a−b)