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4 years ago

A real estate agent receives 5% commission on the first $250, 000 of a house selling price

Mathematics

1 answer:

son4ous [18]4 years ago

5 0

The answer to the question is $12500.

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Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat

nirvana33 [79]

Answer:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

5 0

4 years ago

Anni [7]

i think the question is not correct write it again or attach the pic ic

6 0

3 years ago

What are the dependent (y) and the independent (x) variables?

Alexandra [31]

Answer:

i donk know and i dont understand the question

Step-by-step explanation:

7 0

3 years ago

How do you round 26.2 to the nearest tenth of a kilometer?

Fittoniya [83]

The answer would be 26 because .1-4 rounds down, 5-9 rounds up

6 0

3 years ago

Find the distance between the points given.<br><br> (2, 5) and (6, 8)

inna [77]

(2,5) , (6,8)

Distance formula :

d = √(x₂-x₁)² + (y₂-y₁)²

Simply plug in the values.

d = √(6 - 2)² + (8 - 5)²

Simplify.

d = √(4)² + (3)²

Simplify.

d = √16 + 9

Simplify.

d = √25

So, the distance is 5

~Hope I helped!~

6 0

4 years ago