Answer:
1. <u>$14.88</u>
2. <u>$12.40</u>
Step-by-step explanation:
An english translation:
<em>A company transports office cabinets to a location 425km away. Its cost is R $ 2.10 per km traveled. When the cabinets are assembled, the vehicle's capacity is 60 units. When they are disassembled the capacity increases 6 times. We ask: 1- What is the cost per assembled cabinet? 2- What is the savings per cabinet, when these are taken apart.</em>
<em />
<u>Solution:</u>
425 km with 2.10 per km means:
425 * 2.10 = $892.50 total cost
Now, when assembled, there goes 60 cabinets, so cost per assembled cabinet is:
<u>Cost per assembled cabinet = 892.5/60 = $14.875 = $14.88</u>
<u></u>
The capacity of 60 after disembling, it becomes:
60 * 6 = 360
So, cost per cabinet becomes:
892.5/360 = <u>$2.48</u>
The savings is how much you save up if they were assembled:
14.88 - 2.48 = <u>$12.40</u>
<u>Savings = $12.40</u>
Answer:
The maximum revenue is $900, obtained with 30 people
Step-by-step explanation:
Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.
f(x) = x*(40-(x-20)) = -x²+60x
Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).
f is quadratic with negative main coefficient and its maximum value will be reached at the vertex.
The value of the x coordinate of the vertex is -b/2a = -60/-2 = 30
for x = 30, f(x) = 30*(40-(30-20))=30*30=900
So the maximum revenue is $900.
Answer:
32, 37, 42, 47, 52, 57, 62.
Step-by-step explanation:
It is given that Carissa counts by 5s from 32 to 62.
It means, we have to add 5 in the number to get the next number.
Add 5 in 32.
Now, add 5 in 37.
Similarly, continue the process.
Therefore, the numbers counted by carissa are 32, 37, 42, 47, 52, 57, 62.
Answer:
<em><u>Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.</u></em>
