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kompoz [17]
3 years ago
5

A merchant wants to establish the selling price of an item that costs him $4.50 with a 15% markup. What is his selling price?

Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

the answer it $5.18

Step-by-step explanation:

$4.50 + ($4.50 x .15)

$4.50 + $0.68 = $5.18

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inn [45]

What? Can you be more specific? I'm  very confused about what you want

6 0
3 years ago
find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
3 years ago
Give two ways to write the expression as a phrase 6+p
Otrada [13]
A number(p) plus six
six plus a number(p)
5 0
3 years ago
What's the difference between partial variation and direct variation​
shepuryov [24]

Answer:

<u>Direct Variation is a relation that is of the form y = mx.</u>

and

<u>Partial Variation is a relation that is of the form y=mx+b</u>

Explanation:

This is a simple way to see the difference between them.

<em>Hope This help you!</em>

8 0
3 years ago
.092 -.15-.19= how do I solve
photoshop1234 [79]
Line up the decimal point to each number in order from left to right and subtract to get the difference which should be -0.248
5 0
3 years ago
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