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MrRa [10]
3 years ago
11

The registration fee for a used car is 0.8 percent of the sale price of $5,700.How much is the fee?

Mathematics
1 answer:
vodomira [7]3 years ago
3 0
5700×0.8%
=$45.6
the answer is $45.6
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A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0.03 kg of salt per liter enters a tank at the
charle [14.2K]

Answer:

\dfrac{dy}{dt}=0.27-0.009y(t),$  y(0)=60kg

Step-by-step explanation:

Volume of water in the tank = 1000 L

Let y(t) denote the amount of salt in the tank at any time t.

Initially, the tank contains 60 kg of salt, therefore:

y(0)=60 kg

<u />

<u>Rate In</u>

A solution of concentration 0.03 kg of salt per liter enters a tank at the rate 9 L/min.

R_{in} =(concentration of salt in inflow)(input rate of solution)

=(0.03\frac{kg}{liter})( 9\frac{liter}{min})=0.27\frac{kg}{min}

<u>Rate Out</u>

The solution is mixed and drains from the tank at the same rate.

Concentration, C(t)=\dfrac{Amount}{Volume} =\dfrac{y(t)}{1000}

R_{out} =(concentration of salt in outflow)(output rate of solution)

=\dfrac{y(t)}{1000}* 9\dfrac{liter}{min}=0.009y(t)\dfrac{kg}{min}

Therefore, the differential equation for the amount of Salt in the Tank  at any time t:

\dfrac{dy}{dt}=R_{in}-R_{out}\\\\\dfrac{dy}{dt}=0.27-0.009y(t),$  y(0)=60kg

8 0
4 years ago
57/5506=With remainder (CAN SOMEBODY PLZ ANSWER)
Tresset [83]
57/5506 is
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7 0
3 years ago
Plz help me with this question.
vovikov84 [41]
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7 0
3 years ago
A bag contains 10 marbles: 4are green, 2are red, and 4 are blue. Carmen chooses a marble at random, and without putting it back,
kupik [55]

Answer:

2/15

Step-by-step explanation:

There is a 4/10 probability that she chooses blue the first time, but the second time it is a 3/9 chance because she didn't put the marble back so there are 9 marbles in total, 3 blue ones.

4/10 x 3/9 = 2/5 x 1/3 = 2/15

I hope this helps :)

Edit: Messed up the multiplication, whoops!

4 0
3 years ago
Read 2 more answers
Please help me to find out the answer
EleoNora [17]

9514 1404 393

Answer:

  34.58 in

Step-by-step explanation:

Relative to the angle marked in this right triangle, the side given is the "adjacent" side, and the side length wanted is that of the hypotenuse. The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

Solving for the hypotenuse, we get ...

  NP = (29 in)/cos(33°) ≈ 34.58 in

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3 years ago
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