The total amount of his commission for these vehicles is $ 1686
<em><u>Solution:</u></em>
Given that,
Miles earns a 6% commission on each vehicle he sells
Therefore,
Commission rate = 6 %
Today he sold a truck for $18,500 and a car for $9,600
Therefore,
Commission amount = 6 % of (18500 + 9600)
Commission amount = 6 % of 28100
Calculate the above equation
Thus the total amount of his commission for these vehicles is $ 1686
9514 1404 393
Answer:
Emma's flight is farther from the airport
Step-by-step explanation:
Even without doing any detailed calculation, you can see on a graph that the larger turn Alice's flight makes keeps it closer to the airport.
Emma's flight is farther from the airport.
__
The distance can be calculated using the Law of Cosines. The angle of interest is the supplement of the turn angle. Since the leg distances are the same in each case, the only variable affecting the distance from the airport is the angle measure. Again, the larger the turn, the shorter the distance from the airport. If T is the turn angle, the distance is ...
d² = 100² +50² -2·100·50·cos(180° -T)
d² = 12500 +10000·cos(T) . . . . . . . using cos(180°-T) = -cos(T)
d = 100√(1.25+cos(T))
For Alice's 70° turn, the distance is ...
d = 100√(1.25+0.342) ≈ 126.18 mi
For Emma's 50° turn, the distance is ...
d = 100√(1.25 +0.643) ≈ 137.58 mi
Emma's flight is farther from the airport.
_____
The law of cosines formula is ...
c² = a² +b² -2ab·cos(C)
where triangle sides are lengths a, b, c and angle C is opposite side c.
