An investment club invested part of $8000 at 10% annual interest the rest at 12%. If the annual income from these investments is $900, how much was invested at each rate
Answers
so the amount invested at 12 % = (8000-x)
0.1x + 0.12(8000-x) = 900
0.1x - 0.12x = 900- 960
0.02x = 60
x = 3000 @ 10%
8000 - 3000 = 5000 @ 12%
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The average performance rating of the employees at Company A is 6.5 on a scale from 1 to 10 (10 being highest). The standard deviation is 2.1 The average performance rating of the employees at Company C is 7.4. Company C has a standard deviation of 6.8. It would be better to hire a random employee from Company A. Question 2 options:
Use this image to answer the following question. If there are only enough strawberries to produce 2 gallons of strawberry ice cream, how many gallons of chocolate ice cream can the shop efficiently produce?
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(12,-14) (2,4) we divide those two points by two
C(a,b)- center
C(a,b)=((12+2)/2),(-14+4)/2)=(7,-5)
Radius is the distance from the center to any point on the circle:
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Answers
Answer:
Guard Two
Step-by-step explanation:
Guard two has the path to the treasure because he's telling people that there's no treasure. That makes him suspicious because he might want the treasure for himself
Final answer:
This is a logic puzzle wherein the guards' statements are evaluated based on the given criteria: only one guard is truthful. Upon analysis, we find that only the path guarded by Guard 2 aligns with this criteria, indicating that this is the path you should take to find the treasure.
Explanation:
This is a classic logic problem, often called the 'Liar and Truth-Teller' puzzle. Here's how we can tackle it:
Guard 1 says: 'The treasure lies down this path.'
Guard 2 says: 'No treasure lies down this path, seek elsewhere.'
Guard 3 says: 'The first guard is lying.'
Since we know that only one guard is telling the truth, let's consider if Guard 1 tells the truth. If so, Guard 2 and Guard 3 would be lying, which contradicts the statement of Guard 3 (who confirms Guard 1's statement as a lie).
If Guard 2 is telling the truth (which means there's no treasure on his path), then both Guard 1 and Guard 3 would be lying, which fits our criteria.
If Guard 3 told the truth, this would mean that Guard 1 is lying, but then Guard 2 would also be telling the truth--this contradicts our initial information (only one guard is truthful).
So, based on these evaluations, you should take the path guarded by Guard 2 because he's the only one telling the truth according to the given criteria.
Learn more about Logic Puzzle here:
#SPJ2
Answers
compare 3/5 to 6/35
5 times 7=35
3/5 times 7/7=21/35
21/35 ? 6/35
21 ? 6
21> 6
an easy way is if we do
3/5=x, a random number
rememberig that taking a fraction of something makes it smaller
x times fraction is smaller than x
so
3/5 times 2/7 is less than 3/5
3/5=3/5×7/7=15/35
3/5 ×2/7 is less than 3/5
Answers
Desired outcomes:
1 + 1, 1 + 2, 1 + 3, 1 + 4, 1 + 6,
2 + 1 , 2 + 2, 2 + 3, 2 + 5,
3 + 1, 3 + 2, 3 + 4,
4 + 1, 4 + 3
5 + 2,
6 + 1.
m = 16
Possible outcomes : 6² = 36, n = 36
P ( A ) = 16/ 36 = 0.4444...≈ 0.444
Answer: A ) 0.444
1 + 1, 1 + 2, 1 + 3, 1 + 4, 1 + 6,
2 + 1 , 2 + 2, 2 + 3, 2 + 5,
3 + 1, 3 + 2, 3 + 4,
4 + 1, 4 + 3
5 + 2,
6 + 1.
m = 16
Possible outcomes : 6² = 36, n = 36
P ( A ) = 16/ 36 = 0.4444...≈ 0.444
Answer: A ) 0.444
Hope I helped!
Answers
Answer:
c
Step-by-step explanation:
Answers
Answer:
a and d
Step-by-step explanation:
multiple/divide the top and bottom by 2