Because the order doesn't matter on where each person sits use the combinations formula:
C = n! / (r!(n-r)!)
Where n is the total number of people and r is the number of chairs.
C = 6! / (4!(6-4)!)
C = (6*5*4*3*2*1) / ((4*3*2*1(2*1))
C = 720 / (24*2)
C = 720 / 48
C = 15
There are 15 different arrangements.
The amount invested in the first account is $9,300 while the amount invested in the second account is $8,800.
<h3>
How do we calculate the amount invested?</h3>
Let x represents the amount invested in the first account.
Therefore, we have:
Amount invested in the second account = x - 500
Interest income from first account = 3% * x = 0.03x
Interest income from second account = 5% * (x - 500) = 0.05x - 25
Total interest income = 0.03x + 0.05x - 25 = 719
Solving for x, we have:
0.08x = 719 + 25
x = 744 / 0.08
x = $9,300
Substituting for x, we have:
Amount invested in the second account = $9,300 - $500 = $8,800
Learn more about the amount invested here: brainly.com/question/24132106.
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Answer:
15.6 ft
Step-by-step explanation:
Let's call
- a: distance from the top of the ladder to the ground = 10 ft
- b: distance from the bottom of the ladder to the bottom of the slide = 12 ft
From Pythagorean theorem:
c² = a² + b²
c = √(10² + 12²)
c = 15.6 ft
Answer:
A, they are skew
Step-by-step explanation:
Skew means that they are not perpendicular and they are not parallel.
Sorry if it turns out wrong.
Answer:
the answer is -4
Step-by-step explanation:
you take the points (0,6) and (4,-10), then you subtract -10 by 6 and you get -16. then you take 4 subtracted by 0 and you get 4. -16 divided by 4 is -4.
