Given :
Two companies offer jane sales position. Company a pays $3,000 per month plus $250 per car sold.. Company B pays 2,500 per month plus $350 per car sold.
To Find :
Which equation could be used to determine the number of cars sold in a month, x, that would result in the same total income from each company.
Solution :
Let, x car are sold for same income.
Mathematical equation of company one :
Mathematical equation of company two :
For same income :
So, for same total income from each company the number of cars sold in a month should be 5.
Hence, this is the required solution.
yes sure, i learned this before so
1. a. make a proportion here, of percentage. if you cross multiply and divide you get 90%.
1. b. obviously the empty seats would be 10%.
2. a. proportion again, cross multiply then divide you ge 15%
3. 30% in decimal form is 0.3. multiply it then to the total amount, so 0.3 x 15 = 4.5
Answer:
a)
Since the dot product is not equal to zero then the two vectors are not orthogonal.
If we replace we got:
Since the angle between the two vectors is 180 degrees we can conclude that are parallel
b)
Since the angle between the two vectors is not 0 or 180 degrees we can conclude that are either.
c)
Since the dot product is equal to zero then the two vectors are orthogonal.
Step-by-step explanation:
For each 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.
Part a
u=[-3,9,6], v=[4,-12,-8,]
The dot product on this case is:
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:
And finally we can calculate the angle between the vectors like this:
And the angle is given by:
If we replace we got:
Since the angle between the two vectors is 180 degrees we can conclude that are parallel
Part b
u=[1,-1,2] v=[2,-1,1]
The dot product on this case is:
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:
And finally we can calculate the angle between the vectors like this:
And the angle is given by:
If we replace we got:
Since the angle between the two vectors is not 0 or 180 degrees we can conclude that are either.
Part c
u=[a,b,c] v=[-b,a,0]
The dot product on this case is:
Since the dot product is equal to zero then the two vectors are orthogonal.