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daser333 [38]
3 years ago
7

The value of a car t years after it is purchased is given by the decreasing function V, where V(t) is measured in dollars. The r

ate of change of the car’s value in dollars per year is proportional to the car’s value. Which of the following differential equations could be used to model the value of the car, where k is a constant?
Mathematics
1 answer:
Lana71 [14]3 years ago
7 0

Answer:

dV(t)/dt = kV(t)

Step-by-step explanation:

Since the rate of change of the car’s value in dollars per year dV(t)/dt is proportional to the car’s value V(t), ten

dV(t)/dt ∝ V(t)

dV(t)/dt = kV(t)

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ella [17]

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Roberto and Maria Santanos spend approximately $10.75 per week to wash and dry their family's clothes at a local coin laundry. A
timama [110]

Answer:

72 weeks

Step-by-step explanation:

If 1 week =$10.75 then $774 will be equal to $774×1 week=774 then divide by $10.75=72 weeks

4 0
3 years ago
A submarine left Diego Garcia five hours before a cruise ship. The ships traveled in opposite directions. The cruise ship travel
Rina8888 [55]

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

x_{Sh} = x_{o} + v_{Sh}\cdot t

Submarine

x_{Su} = x_{o}+v_{Su}\cdot t

Where:

x_{o} - Position of Diego Garcia island, measured in miles.

x_{Sh}, x_{Su} - Current positions of ship and submarine, measured in miles.

v_{Sh}, v_{Su} - Velocities of ship and submarine, measured in miles per hour.

t - TIme, measured in hours.

If we know that x_{Sh} - x_{Su} = 241\,mi, v_{Sh} = 19\,\frac{mi}{h} and t = 7\,h, then:

x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t

We clear now the velocity of submarine:

\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}

v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}

v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}

v_{Su} = -15.429\,\frac{mi}{h}

Speed of the submarine is the magnitude of its velocity, which is 15.429 miles per hour.

4 0
3 years ago
Verify the following:<br> 15x(6+(-2) ) = (15x6) + 15x (-2)
NeX [460]

Answer:

-True-

Explanation:

the left side

60

is equal to the right side

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6 0
4 years ago
$56,820 rounded to the nearest dollar
Alex_Xolod [135]
Well, if that is a comma in the number, it is already rounded. If the comma is supposed to be a decimal, the answer would be $57.
6 0
3 years ago
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