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liubo4ka [24]
3 years ago
10

Max is paid on a weekly commission basis .he is paid a base salary of $340 on a weekly quota $8000 and commission of 4.74% on sa

les in excess of quota.
If max sales for lastweek $11340 what wad his gross earning.
What was max average per hour earning in 35 hours
Mathematics
1 answer:
vova2212 [387]3 years ago
8 0

Answer:

  • $498.32
  • $14.24

Step-by-step explanation:

<u>Max gross earning was:</u>

  • 340 + (11340 - 8000)*4.74/100 = $498.32  rounded to nearest cent

<u>Average per hour:</u>

  • 498.32/35 = $14.24 rounded to nearest cent
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Show that the vector orthab=b-projacb is orthogonal to a.
Lina20 [59]

Answer:

We have,  a. ortho (ab) = a.b - a.b/[a]² . /a/²

The /a/² cancel off each other, therefore,

a. ortho (ab) = a.b - a.b

a. ortho (ab) = 0

Therefore, the final result is 0.

Step-by-step explanation:

It should be noted that the orthogonal projection of a vector B onto A is given by a given formula known as:

proJ(ab)  = a.b/[a]² . a ............equation (1)

Where [a] is the magnitude of the vector a,

therefore, [a]² = a.a ...........equation (2)

Which means that if we have a dot product between a vector and the sum of vector, it can be distributed to each vector.

That is : a . (c - d + b )

a.b - a.d + a.b ...........................equation (3)

and since it is given that Ortho (ab) = b - proJ(ab)..........equation (4)

and in order to show that a two vector are orthogonal, we need to show that their dot product is zero.

Where : a.b = /a//b/ cos ( Ф)

and if the dot product is zero (0), this will imply that ,

cos (Ф) = 0

Now moving forward to the proof,,

The first thing we do is substitute equation (1) into equation (4)

That will give us : ortho (ab) =  b - a.b/[a]² . a

and in order to show that vector a and orth(ab) are orthogonal, we need to show that their dot is zero

Therefore, a . ortho (ab) = a . b -  a.b/[a]² . a ........equation (5)

Now, substituting equation (2) into (5),

We have,  a. ortho (ab) = a.b - a.b/[a]² . /a/²

The /a/² cancel off each other, therefore,

a. ortho (ab) = a.b - a.b

a. ortho (ab) = 0

Therefore, the final result is 0.

3 0
3 years ago
I got -4 but I don't see it on here, did I do something wrong??​
Ira Lisetskai [31]

Answer:

it is -4

Step-by-step explanation:

but the answer is not on there so the answer will be D.

5 0
2 years ago
Read 2 more answers
5tanx-2cotx+1=0...... .
Verdich [7]

Step-by-step explanation:

5(tanx)^2 -2 +tanx=0

let tanx=y

5y^2 + y-2=0

y=0.5403 or y= -0.7403

tanx=0.5403

x=arctan(0.5403)

x=28.38°

or

tanx=-0.7403

x=arctan(-0.7403)

x=143.49°

7 0
3 years ago
Find the value for c, x, x, m, and x
Nutka1998 [239]

Answer:

In order, c= 3, x= -4, x= 2, m= 8, x= 25

Step-by-step explanation:

These are the answers. use pemdas for the distributive properties.

8 0
3 years ago
Four graphs are shown below:
vlada-n [284]
Definitely Graph C.

The dots are aligned correctly to the line better than the other graphs.
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2 years ago
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