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Trava [24]
3 years ago
5

maria is bringing her sick dog pedro in for a series of appointments at the veterinary clinic. Her total over the course of trea

tment with be $150 for tests and medidine plus $30 per appointment,a. the clinic offers Maria a 15% discount off her total cost. Write an equation to show her updated cost.
Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0
150+30=180x15%=27 total discount
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Answer:

dQ(t)/dt = 20 - 2Q(t)/5 , Q(0) = 0

Step-by-step explanation:

The mass flow rate dQ(t)/dt = mass flowing in - mass flowing out

Since 5 g/L of salt is pumped in at a rate of 4 L/min, the mass flow in is thus 5 g/L × 4 L/min = 20 g/min.

Let Q(t) be the mass present at any time, t. The concentration at any time ,t is thus Q(t)/volume = Q(t)/10. Since water drains at a rate of 4 L/min, the mass flow out is thus, Q(t)/10 g/L × 4 L/min = 2Q(t)/5 g/min.

So, dQ(t)/dt = mass flowing in - mass flowing out

dQ(t)/dt = 20 g/min - 2Q(t)/5 g/min

Since the salt just begins to be pumped in, the initial mass of salt in the tank is zero. So Q(0) = 0

So, the initial value problem is thus

dQ(t)/dt = 20 - 2Q(t)/5 , Q(0) = 0

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then the diameter is 20

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