Answer:
$176.30
Step-by-step explanation:
7 1/2% can be simplified to 7.5%
7.5% of 164.00 is 12.30
12.30+164.00=176.30
$176.30
Let's define the vectors:
U = (4.4)
V = (3.1)
The projection of U into V is proportional to V
The way to calculate it is the following:
Proy v U = [(U.V) / | V | ^ 2] V
Where U.V is the point product of the vectors, | V | ^ 2 is the magnitude of the vector V squared and all that operation by V which is the vector.
We have then:
U.V Product:
U.V = (4,4) * (3,1)
U.V = 4 * 3 + 4 * 1
U.V = 12 + 4
U.V = 16
Magnitude of vector V:
lVl = root ((3) ^ 2 + (1) ^ 2)
lVl = root (9 + 1)
lVl = root (10)
Substituting in the formula we have:
Proy v U = [(16) / (root (10)) ^ 2] (3, 1)
Proy v U = [16/10] (3, 1)
Proy v U = [1.6] (3, 1)
Proy v U = [1.6] (3, 1)
Proy v U = (4.8, 1.6)
Answer:
the projection of (4,4) onto (3,1) is:
Proy v U = (4.8, 1.6)
Answer:
Statement of the given problem,
A shopkeeper made 20% profit on selling a bicycle at the labelled price but he would gain only Rs. 180 when 5% discount was allowed. What was the cost price of the bicycle?
Let C & M denote the required cost price & marked price respectively of the given bicycle.
Hence from above data we get following relations,
M = (1 + 20/100)*C
or M = (6/5)*C
(1 - 5/100)*M = 180 + C
or (19/20)*M = 180 + C
or (19/20)*(6/5)*C = 180 + C
or (57/50)*C - C = 180
or (7/50)*C = 180
or C = (50/7)*180 = 1285.71
The answer is maybe C lol