64 dollars is the tax, the total cost would be $864.
Use this for percentages.
https://percentagecalculator.net/
The extra cost of the apples and the carrots is 5 dollors and 90 cent
To find W⊥, you can use the Gram-Schmidt process using the usual inner-product and the given 5 independent set of vectors.
<span>Define projection of v on u as </span>
<span>p(u,v)=u*(u.v)/(u.u) </span>
<span>we need to proceed and determine u1...u5 as: </span>
<span>u1=w1 </span>
<span>u2=w2-p(u1,w2) </span>
<span>u3=w3-p(u1,w3)-p(u2,w3) </span>
<span>u4=w4-p(u1,w4)-p(u2,w4)-p(u3,w4) </span>
<span>u5=w5-p(u4,w5)-p(u2,w5)-p(u3,w5)-p(u4,w5) </span>
<span>so that u1...u5 will be the new basis of an orthogonal set of inner space. </span>
<span>However, the given set of vectors is not independent, since </span>
<span>w1+w2=w3, </span>
<span>therefore an orthogonal basis cannot be found. </span>
Answer:
Cost Price = Rs 10000
Step-by-step explanation:
Assume:
Cost of the item = x
Item was sold at a loss of 20%:
Loss = 20% of x = 0.2x
Item sold = x - 0.2x = 0.8x
Item sold at a profit of 10%:
Profit = 10% of x = 0.1x
item sold = x + 0.1x = 1.1x
Solve:
Difference = 1.1x - 0.8x = 0.3x
0.3x = Rs 3000
x = Rs 3000 ÷ 0.3
x = Rs 10000
