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olga nikolaevna [1]

3 years ago

7

A vehicle purchased for $20700 depreciates at a constant rate of 5% . Determine the approximate value of the vehicle 10 years af

ter purchase.

1 answer:

SVEN [57.7K]3 years ago

5 0

Answer:

I believe it is 12,393.86

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PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

<u>0.075 m/min</u>

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

<u>1. Write the equation for the volume of the cone:</u>

$V=\dfrac{1}{3}\pi r^2h$

<u />

<u>2. Find the relation between the radius and the height:</u>

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

<u>3. Filling the tank:</u>

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

$V=\dfrac{1}{3}\pi x^2y$

$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

<u>4. Find the derivative of the volume of water with respect to time:</u>

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

<u>5. Find x² when the volume of water is 8π m³:</u>

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

<u>6. Solve for dx/dt:</u>

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

<u />

<u>7. Find dh/dt:</u>

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0

3 years ago

HELP PLEASE I WOULD APPRECIATE IF SOMEONE HELPS PLEASE AND THANKS

RideAnS [48]

It's the last one. 15/2 is 7.5.

Therefore you must do the same to the 9. Divide 9 by 7.5 To give you 1.2 and that's your answer.

8 0

3 years ago

Help this question has time please its myfinal exam

Zarrin [17]

Answer:

$(x,y) = (-0.5,0.5)$

Step-by-step explanation:

Given

See attachment

Required

The solution

The solution is at the point where the two lines meet.

The lines meet at:

$x = -0.5$ and $y = 0.5$

So, the solution is:

$(x,y) = (-0.5,0.5)$

4 0

2 years ago

Car A travels 115 miles on 5 gallons of gas. Car B travels 126 miles on 6 gallons of gas. How can you find which car gets better

svp [43]

Answer:

miles divided by gallons

car A= 115÷5=23 miles per gallon

car B= 126÷6=21 miles per gallon

Car A gets better gas mileage.

6 0

2 years ago

Please solve for x<br> -2+3x=2x+6+x

Ilya [14]

0=8 no solution is the answer

5 0

3 years ago

Read 2 more answers