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1 year ago

Maddy found a job with an annual salary of $47.5K. What is her monthly pay, rounded to the nearest dollar?

Mathematics

2 answers:

Deffense [45]1 year ago

8 0

$3,958

explanation:
47,000 / 12 months = 3,958

bezimeni [28]1 year ago

6 0

There are 12mnths in a year so for one month you would do $47500 divided by 12 which is 3,958.333 but rounded to the nearest dollar is $3958

Answer: $3,958

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the volume v of a right circular cylinder of radius r and heigh h is V = pi r^2 h 1. how is dV/dt related to dr/dt if h is const

laiz [17]

In general, the volume

$V=\pi r^2h$

has total derivative

$\dfrac{\mathrm dV}{\mathrm dt}=\pi\left(2rh\dfrac{\mathrm dr}{\mathrm dt}+r^2\dfrac{\mathrm dh}{\mathrm dt}\right)$

If the cylinder's height is kept constant, then $\dfrac{\mathrm dh}{\mathrm dt}=0$ and we have

$\dfrac{\mathrm dV}{\mathrm dt}=2\pi rh\dfrac{\mathrm dt}{\mathrm dt}$

which is to say, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ are directly proportional by a factor equivalent to the lateral surface area of the cylinder ( $2\pi r h$ ).

Meanwhile, if the cylinder's radius is kept fixed, then

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

since $\dfrac{\mathrm dr}{\mathrm dt}=0$ . In other words, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dh}{\mathrm dt}$ are directly proportional by a factor of the surface area of the cylinder's circular face ( $\pi r^2$ ).

Finally, the general case ( $r$ and $h$ not constant), you can see from the total derivative that $\dfrac{\mathrm dV}{\mathrm dt}$ is affected by both $\dfrac{\mathrm dh}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ in combination.

8 0

2 years ago

Vertex of -2 (x - 3)^2 - 2

marin [14]

Answer:

The vertex is (-3,-2)

Step-by-step explanation:

We can write the equation for a parabola in the form

y = a(x-h)^2 +k where (h,k) is the vertex

y =-2 (x - 3)^2 - 2

h = -3 and k =-2

The vertex is (-3,-2)

3 0

2 years ago

A manufacturer Phils various size boxes of flour. Today, the box and are 12 inches tall, 8 inches wide and 3 inches deep. They a

Digiron [165]

Here is what I got:(maybe wrong) 12*8*3 = 288, which is how big the box is. Then, you remove 1.5 inches from the height and get 10.5*8*3, which is 252. Subtract 252 from 288 to get the answer, 36.

8 0

2 years ago

Order from least to greatest <br> 1/3, 1/4, 5/6

9966 [12]

Answer:

1/4 , 1/3 , 5/6

Step-by-step explanation:

hope this helps :)

7 0

3 years ago

Read 2 more answers

Company A has no initial fee but charges 80 cents for every mile driven.

Tamiku [17]

Answer:

m > 550

Step-by-step explanation:

0.80m > 55+0.70m

0.10m > 55

m > 55/0.10 = 550

A costs more when you drive more than 550 miles.

3 0

2 years ago