Answer:
Please check the explanation!
Step-by-step explanation:
Given the polynomial




so expanding summation

solving




also solving






similarly, the result of the remaining terms can be solved such as




so substituting all the solved results in the expression


Therefore,

I think it is reasonable. She will have extra cash (almost $500) but that isn't a bad thing when you are going on a vacation.
If you need to know how to do it, what I did was take the $48 and the 52 weeks and multiply them together to get $2,496.... But if you think in your own opinion it's not reasonable than say she could trim down her savings and only try to earn about 40 dollars each week; you get to the closer amount of $2,000 with $2,080...
I hope this helps. Choose for yourself though! <3 Good luck! (:
Answer:
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Step-by-step explanation:
If p then q. P, therefore q.
Answer:
Shortest distance from the mountain is 3.17 miles.
Step-by-step explanation:
From the figure attached,
Let a mountain is located at point A.
Angle between the mountain and point B (∠B) = 53°
Angle between the mountain and point C (∠C) = 78°
Distance between these points = 3 miles
Since, m∠A + m∠B + m∠C = 180°
m∠A + 53° + 78° = 180°
m∠A = 180°- 131° = 49°
By applying sine rule in triangle ABC,



AC = 
AC = 3.17 miles

AB = 
AB = 3.89 miles
Therefore, shortest distance from the mountain is 3.17 miles.