Answer:
P(t)=25000(1.12)^t
Step-by-step explanation:
If we start with the initial population size, 25,000 people, and keep multiplying by 1.12 this function gives us the population of Madison t years from now: P(t)=25000(1.12)^t
Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of
(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min
and flows out at a rate of
(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min
Then the net flow rate is governed by the differential equation

Solve for S(t):


The left side is the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5Be%5E%7Bt%2F800%7DS%28t%29%5Cright%5D%3D%5Cdfrac8%7B100%7De%5E%7Bt%2F800%7D)
Integrate both sides:



There's no sugar in the water at the start, so (a) S(0) = 0, which gives

and so (b) the amount of sugar in the tank at time t is

As
, the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.
Amount of oil sandi has = 2 1/3 * 12
= 7/3 * 12 = 7*4 = 28 quarts
Answer:
374/105.
Step-by-step explanation:
1/3 of 8 * 2/7
= 1/3 * 8 * 2/7
= 8/3 * 2/7
= 16/21.
2/5 of 7
= 2/5 * 7
= 14/5.
Adding 16/21 + 14/5
= 80 / 105 + (14*21) / 105
= 80/105 + 294/105
= 374/105.
Answer:
there just adding 2 more stars ,, 1 has 2 , 2 has 4, and 3 has 6
Step-by-step explanation: