The sum of the measures of the exterior angles of an n-gon, one at each vertex, is ____
1 answer:
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Answer:
1. $35.075
2. 43.5 hours
3. 70%
4. Danny is correct
5. Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% should be 28.5
Step-by-step explanation:
The pay per hour for student tutors = $5.75
1. A tutor who worked 3.4 hours on Monday and 2.7 hours on Thursday has worked, 3.4 + 2.7 = 6.1 hours for the week, therefore
The week earning for the tutor = 6.1 × 5.75 = $35.075
2. The Club's tutoring budget per week = $250
The number of tutoring hours that can be provided per week is given by the relation;
3. The score of 21 out of 30 as a percentage is given as follows;
4. Where the second score is 45 out of a total of 60 points, we have;
Therefore, the increase in Abe's score is 5%, therefore, Danny is correct
5. To raise his checkup quiz grade to 80% overall, then we should have;
Where:
Q = The percentage grade of the last quiz
(145 + Q)×100 = 80×300 = 24000
145 + Q = 240
Q = 240 - 145 = 95%
Therefore, he has to score, 95% of 30 on the last quiz, which is thus;
Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% = 28.5 points.
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Answer:
- Constraints: x + y ≤ 250; 250x +400y ≤ 70000; x ≥ 0; y ≥ 0
- Objective formula: p = 45x +50y
- 200 YuuMi and 50 ZBox should be stocked
- maximum profit is $11,500
Step-by-step explanation:
Let x and y represent the numbers of YuuMi and ZBox consoles, respectively. The inventory cost must be at most 70,000, so that constraint is ...
250x +400y ≤ 70000
The number sold will be at most 250 units, so that constraint is ...
x + y ≤ 250
Additionally, we require x ≥ 0 and y ≥ 0.
__
A profit of 295-250 = 45 is made on each YuuMi, and a profit of 450-400 = 50 is made on each ZBox. So, if we want to maximize profit, our objective function is ...
profit = 45x +50y
__
A graph is shown in the attachment. The vertex of the feasible region that maximizes profit is (x, y) = (200, 50).
200 YuuMi and 50 ZBox consoles should be stocked to maximize profit. The maximum monthly profit is $11,500.
