A rental car company charges $31.35 per day to rent a car and $0.15 for every mile
1 answer:
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Answer:
<h2> 112.3 square units</h2>Step-by-step explanation:
Find the sketch of the triangle attached.
Area of the triangle =
Given PQ = 20, PR = 12 and ∠QPR = 68°
Area of the triangle = 1/2 * 20 * 12 * sin68°
Area of the triangle = 120sin68°
Area of the triangle = 112.26 square units
Area of the triangle ≈ 112.3 square units (to the nearest tenth of a square unit)
Answer:
Step-by-step explanation:
concentration = amount of salt/solution
A) Initial concentration= 90/1000 = 0.09
Q = quantity of salt
Q(0) = 90 kg
Inflow rate = 8 l/min
Outflow rate = 8 l/min
Solution = 1000 L at any time t.
Salt inflow = 0.045 * 8 per minute
= 0.36 kg per minute
This is mixed and drains from the tank.
Outflow =
Thus rate of change of salt
Q'(t) = inflow - outflow =
Separate the variables and integrate
Use the fact that Q(0) = 90
90 = 360-A
A = 270
So
B) Q(t) = 360-270e^-0.004 = 91.07784
C) When t approaches infinity, we get
Q(t) tends to 360
So concentration =360/1000 = 0.36