Answer:
A. $58.50
B. $80
C. No. The markup was 33 1/3%
Step-by-step explanation:
You are expected to know the relevant relationship is ...
cost + markup = selling price . . . . also called "store price" in this problem
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A. The markup is 30% × $45 = $13.50, so the store price is ...
$45 + 13.50 = $58.50
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B. When the 30% markup is added to the 100% cost, the selling price is 130% of the cost, or 1.30 times the cost. Here you have ...
$104 = 1.30 × cost
$104/1.3 = cost = $80 . . . . . divide by the coefficient of cost
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C. The markup is $100 -75 = $25, so the markup percentage based on cost is ...
$25/$75 × 100% = 33 1/3%
This is not 30%.
Step-by-step explanation:
Answer: see explanation
Step-by-step explanation:
so you have a plane at constant altitudeof 6km (6000m) flying at 800 km/h (222.222 m/s) (see the image)
the plane is moving with constant speed therefore x(t) = 222.222*t => no forces are interacting horizontally with the plane therefore acceleration is 0, then v is constant and x(t) is a linear function which coefficient is v.
now we have a triangle with an angle theta, one side is x(t), and the other is 6000m. we can get theta by tan(theta) = 6000/(222.222*t). 24 minutes are 1440 seconds so if we replace such value, we get the theta angle by solving for theta => theta = arctan(6000/(222.222*1440)) = 0.019 radians or 1.074 degrees. Now if you want to know the exchange rate of theta we have to differentiate the expression with respect to t:

then replace t with 1440 and you will get that theta is changing by -0.000013 (1.3E-5) radians or -7.458E-4 degrees every second which has a lot of sense since the plane is getting out of your line of sight due to the earth's curvature