The final price (what it is selling for) is $796.40
The markup is 10% of the original price (the dealer's cost) , meaning that it is 10% more.
We need to find the original price.
We write this as an equation
The original price *110% = final price
This is because the original price is itself (100%) added with 10%
Plug in the known final price
Original Price * 110% = 796.40
Convert 110% to a decimal because the other numbers- such as the final price are also decimal numbers.
Convert 110% to a decimal by moving the decimal point up 2 spaces ( basically dividing it by 100)
110% = 1.1
So it is now
Original price *1.1 = 796.40
Divide both sides by 1.1 to isolate our unknown, the original price
Original price = $724
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
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![f( - 4) = 4( - 4) + 9 = - 7](https://tex.z-dn.net/?f=f%28%20-%204%29%20%3D%204%28%20-%204%29%20%2B%209%20%3D%20%20-%207)
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![f( - 2) = 4( - 2) + 9 = 1](https://tex.z-dn.net/?f=f%28%20-%202%29%20%3D%204%28%20-%202%29%20%2B%209%20%3D%201)
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![f(0) = 4(0) + 9 = 9](https://tex.z-dn.net/?f=f%280%29%20%3D%204%280%29%20%2B%209%20%3D%209)
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![f(2) = 4(2) + 9 = 17](https://tex.z-dn.net/?f=f%282%29%20%3D%204%282%29%20%2B%209%20%3D%2017)
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Thus ;
R = { - 7 , 1 , 9 , 17 }
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The correct answer is (( D )) .
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Answer:b
Step-by-step explanation:
1 pound of coffee costs 6.95
3.4 pounds will cost 6.95 x 3.4 = 23.63