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lesantik [10]
3 years ago
11

Mark’s salary is $900 per month. What is his yearly salary? $

Mathematics
2 answers:
KatRina [158]3 years ago
7 0
900$*12months=10,800$
velikii [3]3 years ago
6 0
His yearly salary is 10,800
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$4500 principal, 9% rate, 3.5 years. find the simple interest
Rainbow [258]

Answer:

Formular - I =PRT ÷100

I=$4500×9×3.5 ÷100

I=$141750÷100

I=$1417.5

Therefore the simple interest will be $1417.5

4 0
3 years ago
A safety regulation states that the maximum angle of elevation for a rescue ladder is 72º. A fire department's longest
Svetradugi [14.3K]

Answer:

  110sin(72°) feet

Step-by-step explanation:

In the right triangle with the 110 ft ladder as the hypotenuse, the side opposite the 72° angle represents the maximum height the ladder will reach. The definition of the sine function tells you ...

  Sin = Opposite/Hypotenuse

so the Opposite side will be ...

  ladder height = (110 ft)sin(72°)

6 0
3 years ago
What’s the equation for this table?
-BARSIC- [3]

Answer:

y=2.5x-3

Step-by-step explanation:

first, we find the y-intercept, which is the number with a zero in the x

That would be -3

next, we find the slope

to do this, we have to take two numbers on the y side next to each other and subtract.

For this example we will use 7 and 2

7-2=5

And just to be positive, we will also do 12 and 7

12-7=5

Okay, now that we know that the number is growing by 5 every time, we know that it is now 5/2 because y is growing by 5 and x is growing by 2

Now, we make the x side grow by only 1, so to do this, we will divide both sides by two.

Now we have 5/1 or just 5

Finally, to put that into the right format, we do y=5x-3

You're Welcome

Good Luck

6 0
3 years ago
Lola takes the train from Paris to Nice. The distance between the two cities is about 920,000 meters. If the train travels at a
Vlada [557]

First, you need to convert 920,000 meters to kilometers because the speed of the train is kilometer per hour, 920,000 meters is equal to 920 kilometers. Then, all you need to do left is take 920 (the distance from Paris to Nice in kilometer) and divide it by 230 (the speed of the train), so you will get 4. So you should write the answer like this: "The total time that took Lola to get from Paris to Nice is 4 hours."Hope this help you.


5 0
3 years ago
Find the Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables. If x = f(u, v, w), y = g(u, v, w), and z = h(u, v
jeyben [28]

Answer:

The Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables

= -3072uv

Step-by-step explanation:

<u>Step :-(i)</u>

Given  x = 1 6 (u + v)  …(i)

  Differentiating equation (i) partially with respective to 'u'

               \frac{∂x}{∂u} = 16(1)+16(0)=16

  Differentiating equation (i) partially with respective to 'v'

              \frac{∂x}{∂v} = 16(0)+16(1)=16

  Differentiating equation (i)  partially with respective to 'w'

               \frac{∂x}{∂w} = 0

Given  y = 1 6 (u − v) …(ii)

  Differentiating equation (ii) partially with respective to 'u'

               \frac{∂y}{∂u} = 16(1) - 16(0)=16

 Differentiating equation (ii) partially with respective to 'v'

               \frac{∂y}{∂v} = 16(0) - 16(1)= - 16

Differentiating equation (ii)  partially with respective to 'w'

               \frac{∂y}{∂w} = 0

Given   z = 6uvw   ..(iii)

Differentiating equation (iii) partially with respective to 'u'

               \frac{∂z}{∂u} = 6vw

Differentiating equation (iii) partially with respective to 'v'

               \frac{∂z}{∂v} =6 u (1)w=6uw

Differentiating equation (iii) partially with respective to 'w'

               \frac{∂z}{∂w} =6 uv(1)=6uv

<u>Step :-(ii)</u>

The Jacobian ∂(x, y, z)/ ∂(u, v, w) =

                                                         \left|\begin{array}{ccc}16&16&0\\16&-16&0\\6vw&6uw&6uv\end{array}\right|

   Determinant       16(-16×6uv-0)-16(16×6uv)+0(0) = - 1536uv-1536uv

                                                                                 = -3072uv

<u>Final answer</u>:-

The Jacobian ∂(x, y, z)/ ∂(u, v, w) = -3072uv

 

               

     

6 0
3 years ago
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