Answer:
<em>The shop made a profit about $40.</em>
<em>Step-by-step explanation:</em>
<em>Now, According to the question We know that :</em>
<em>The shop marked the $200 price up by 60%.</em>
<em>60% of $200 is = $120. </em>
<em>Now, the price is = $320 because, 200 + 120 = 320. </em>
<em />
<em>Joseph bought the tennis racket at 25% off.</em>
<em>25% of $320 is = $80.</em>
<em>Now, the discount price is = $240 Because, 320 - 80 = 240.</em>
<em />
<em>So, Joseph bought the racket for = $240.</em>
<em />
<em>Now we know that the original price from the factory was $200.</em>
<em>Joseph bought it for $240.</em>
<em>So, the shop made a profit of $40.</em>
Answer:
A=8.4063
Step-by-step explanation:
Be the functions:
according the graph:
=3[(ln7-ln1)-(\frac{1}{7}-1)]=3[(1.945-0)-(0.1428-1)]=3*(1.945+0.8571)=3*2.8021=8.4063u^{2}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B3%7D%7Bx%7D%20%7D%20%5C%2C%20dx%20-%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B3%7D%7Bx%5E%7B2%7D%20%7D%20%7D%20%5C%2C%20dx%20%3D3%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B1%7D%7Bx%7D%20%7D%20%5C%2C%20dx%20-3%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%20%7D%20%7D%20%5C%2C%20dx%3D3%28%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B1%7D%7Bx%7D%20%7D%20%5C%2C%20dx%20-%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%20%7D%20%7D%20%5C%2C%20dx%29%3D3%5Blnx-%5Cfrac%7B1%7D%7Bx%7D%5D%281-7%29%3D3%5B%28ln7-ln1%29-%28%5Cfrac%7B1%7D%7B7%7D-1%29%5D%3D3%5B%281.945-0%29-%280.1428-1%29%5D%3D3%2A%281.945%2B0.8571%29%3D3%2A2.8021%3D8.4063u%5E%7B2%7D)
Mathematics and science go hand in hand. The branches of science which include: Physics, astronomy, chemistry, biology, etc. In all these fields you will find that you will have to use the mathematical principles and formulae to solve the numerical problems. So, science needs maths but maths does not need science.
