A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
1 answer:
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Answer:
a)
b)
Step-by-step explanation:
a) This is an exponential distribution question since it is a poisson type problem
Mean rate is 0.95 per 1000 passengers
Mean rate,
per passenger
Probability that at least 490 passengers will have their baggage handled properly before the next mishandling occurs :
b) Probability that the number will be fewer than 200 passengers
Answer:
Width of the uniform path that surrounds the piece of land = 3 m
Step-by-step explanation:
Let the width of the path that surrounds the piece of land be x.
The situation described is sketched in the attached image to this solution.
The dimension of the Length of the piece of land including the uniform path that surrounds it = (40 + 2x) m
The Breadth of the piece of land including the uniform path that surrounds it = (25 + 2x) m
The area of the piece of land including the uniform path that surrounds it
= (Area of the piece of land) + (Area of the uniform path that surrounds it)
Area of the piece of land = Length × Breadth = 40 × 25 = 1000 m²
Area of the uniform path that surrounds it = 426 m² (Given in the question)
The area of the piece of land including the uniform path that surrounds it = 1000 + 426 = 1426 m²
But the area of the piece of land including the uniform path that surrounds it is also
= (Length of the piece of land including the uniform path that surrounds it) × (Breadth of the piece of land including the uniform path that surrounds it
= (40 + 2x) + (25 + 2x)
= 1000 + 80x + 50x + 4x²
= (4x² + 130x + 1000) m²
Equation these 2 areas
4x² + 130x + 1000 = 1426
4x² + 130x - 426 = 0
Solving the quadratic equation
x = 3 or -35.5
Since the width cannot be negative,
x = 3 m
Hope this Helps!!!
Answer:
Total cost of repayment is $10,852.92
Step-by-step explanation:
Firstly, we need to calculate the interest attached to this loan repayment
To calculate this, we use the formula for simple interest
Mathematically,
I =
where P is the amount borrowed which is $9,000
R is the rate which is 4.5%
T is the time which is 3 years
Plugging these values, we have
I = (9000×4.5×3)/100 = $1,215
Now we were also told in the question that she will make a monthly repayment of $267.72
Now the number of months in 3 years is 36 months. Total monthly repayment = 267.72 × 36 = $9637.92
Adding the interest amount, we have 9637.92 + 1215 = $10,852.92